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In mathematics, a Kleinian group is a discrete subgroup of the group of orientation-preserving isometries of hyperbolic 3-space H3. The latter, identifiable...

William Thurston in his influential 1982 paper Three-dimensional manifolds, Kleinian groups and hyperbolic geometry published in the Bulletin of the American...

In mathematical cryptography, a Kleinian integer is a complex number of the form m + n 1 + − 7 2 {\displaystyle m+n{\frac {1+{\sqrt {-7}}}{2}}} , with...

The Kleinian psychoanalytic school of thought, of which Melanie Klein was a pioneer, considers envy to be crucial in understanding both love and gratitude...

In mathematics, a Kleinian model is a model of a three-dimensional hyperbolic manifold N by the quotient space H 3 / Γ {\displaystyle \mathbb {H} ^{3}/\Gamma...

Donald Meltzer (1922–2004) was a Kleinian psychoanalyst whose teaching made him influential in many countries. He became known for making clinical headway...

theory of Kleinian groups, the Ahlfors finiteness theorem describes the quotient of the domain of discontinuity by a finitely generated Kleinian group. The...

theory of pseudoanalytic functions and worked on Riemann surfaces and Kleinian groups. He was also known for his work in human rights activism. Bers was...

In mathematics, a Klein geometry is a type of geometry motivated by Felix Klein in his influential Erlangen program. More specifically, it is a homogeneous...

(26 September 1924 – 25 January 2022) was a South African-born British Kleinian psychoanalyst. O'Shaughnessy trained in philosophy, which she taught at...

in group theory and hyperbolic geometry, Arithmetic Kleinian groups are a special class of Kleinian groups constructed using orders in quaternion algebras...

space-filling, or rather sphere-filling, curves in the theory of doubly degenerate Kleinian groups. For example, Cannon & Thurston (2007) showed that the circle at...

considered that "received wisdom suggests that she is the doyen of "classical" Kleinian thinking and technique." The BBC broadcaster Sue Lawley introduced her...

In the mathematical theory of Kleinian groups, the density conjecture of Lipman Bers, Dennis Sullivan, and William Thurston, later proved independently...

is an English mathematician known for her work in hyperbolic geometry, Kleinian groups and dynamical systems. Series was born on March 24, 1951, in Oxford...

Scotland Street series. One of the characters, Irene, has an obsession with Kleinian theory, and uses it to "guide" her in the upbringing of her son, Bertie...

expertise; and on the other to offset the dangers of idealisation built into Kleinian articulations of the 'good object' and 'good mother', by stressing instead...

of training in the society after the war with the three groups of the Kleinians, the Anna Freudians, and the Middle (or later Independent) Group. In these...

Bers' density conjecture from singly degenerate Kleinian surface groups to all finitely generated Kleinian groups in the late 1970s and early 1980s. The...

In mathematics, a Schottky group is a special sort of Kleinian group, first studied by Friedrich Schottky (1877). Fix some point p on the Riemann sphere...

contains orientation-reversing elements), and sometimes it is allowed to be a Kleinian group (a discrete subgroup of PSL(2,C)) which is conjugate to a subgroup...

functions that projective identification may serve. As in the traditional Kleinian model, it serves as a defense. Projective identification serves as a mode...

discussions" (1942–44) at the British Psychoanalytical Association. The Kleinian psychologists proposed that "underlying the Oedipus complex, as Freud described...

therein as just as dangerous for the father as the father is for her, later Kleinians like John Steiner have stressed the creative aspect of the primal scene;...

Kleinian groups, Bers slices and Maskit slices, named after Lipman Bers and Bernard Maskit, are certain slices through the moduli space of Kleinian groups...

'deviation from psychoanalysis'; and the following year, the fundamental Kleinian position paper by Susan Sutherland Isaacs on "Phantasy" was publicly 'attacked...

Symbolic equation is the term used in Kleinian psychoanalysis for states of thinking which equate current objects with those of the past, rather than finding...

conjecture for Kleinian surface groups. In view of the Tameness theorem this implies the ending lamination conjecture for all finitely generated Kleinian groups...

strictly contained in a larger discrete subgroup. These are called maximal Kleinian groups and it is possible to give a complete classification in a given...

is commonly attributed to Felix Klein who used it to study subgroups of Kleinian groups, that is, of discrete groups of isometries of the hyperbolic 3-space...

In the mathematical theory of Kleinian groups, a quasi-Fuchsian group is a Kleinian group whose limit set is contained in an invariant Jordan curve. If...

German-British psychoanalyst. Rosenfeld made seminal contributions to Kleinian thinking on psychotic and other very ill patients; while his emphasis on...

Margaret Mahler. Psychoanalytic studies, particularly by Anglo-Saxon post-Kleinian analysts such as Frances Tustin, Donald Meltzer, and Donald Winnicott,...

In mathematics, conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. In a real two dimensional space...

July 4, 2016) was a Canadian-English anthropologist, sociologist, and Kleinian psychoanalyst. Born to Canadian psychologists Helen Bott and Edward Alexander...

with Nimish Shah: The asymptotic distribution of circles in the orbits of Kleinian groups, Inventiones mathematicae, vol. 187, 2012, pp. 1–35 with Nimish...

Bers' density conjecture from singly degenerate Kleinian surface groups to all finitely generated Kleinian groups in the late 1970s and early 1980s. The...

mappings Denjoy-Carleman-Ahlfors theorem Ahlfors finiteness theorem for Kleinian groups Ahlfors theory Conformal geometry Geometric function theory Awards...

a "mutual enhancement" of psychoanalysis and feminism. She argues that Kleinian psychoanalysis, is a kind of psychoanalysis that gives the greatest significance...

Lev Vygotsky's view, that "to develop is to die". Manners states that in Kleinian terms, "development is seen as striving towards resolution of conflicting...

_{2}(\mathbb {R} )} are obtained in this way (up to commensurability). Arithmetic Kleinian groups are constructed similarly except that F {\displaystyle F} is required...

the 3-dimensional hyperbolic space by a discrete group of isometries (a Kleinian group). Hyperbolic 3-manifolds of finite volume have a particular importance...

lattices in Lie groups, especially Mostow's rigidity theorem, the study of Kleinian groups, and the progress achieved in low-dimensional topology and hyperbolic...

the US and UK Kleinian psychologists used the object relations theory to re-evaluate megalomania as a defence mechanism. This Kleinian therapeutic approach...

into early childhood and indeed are never completely finished". However, Kleinians also use Freud's first conception of splitting to explain the way "in...

Bion, the British Object Relations School, and other theorists in the Kleinian traditions. It is affiliated with the International Psychoanalytic Association...

field generated by the traces of its elements. It is mostly studied for Kleinian and Fuchsian groups, though related objects are used in the theory of lattices...

original example of Cannon and Thurston can be thought of in terms of Kleinian representations of the surface group H = π 1 ( S ) {\displaystyle H=\pi...

(1982), no. 3, 357–453. Thurston, William P. Three-dimensional manifolds, Kleinian groups and hyperbolic geometry. Bull. Amer. Math. Soc. (N.S.) 6 (1982)...

(Ratcliffe 1994, 12.7). Density theorem for Kleinian groups Greenberg, L. (1966), "Fundamental polyhedra for kleinian groups", Annals of Mathematics, Second...

Kleinian groups are, by definition, discrete subgroups of the isometry group of hyperbolic 3-space. These include quasi-Fuchsian groups. A Kleinian group...

Interpersonal Action'. In the first part, Laing sets out from a critique of the Kleinian view of unconscious phantasy, as set out by Susan Sutherland Isaacs, for...

amicable groups within the psychoanalytic movement: the Anna Freudians, the Kleinians, and the Middle (or later Independent) Group of the British Psychoanalytical...

are preserved, one speaks of conformal maps. Conformal maps give rise to Kleinian groups, for example. Symmetries are not restricted to geometrical objects...

phantastic (with ph) derives from the psychoanalytic term phantasy, used in the Kleinian tradition to denote unconscious fantasy rather than conscious imagination...

NJ: Erlbaum. O'Connor, John (1 December 2002). "Type A, type b and the kleinian positions: do they relate to similar processes?". Psychoanalytic Psychology...

geometry, a Du Val singularity, also called simple surface singularity, Kleinian singularity, or rational double point, is an isolated singularity of a...

Psychoanalytic Society (1976). There, she worked with Jean Bégoin, a Parisian Kleinian psychoanalyst. Starting in 1980, she wrote articles for the Belgian Psychoanalytic...

conjecture, now a theorem, states that the limit set of a finitely generated Kleinian group is either the whole Riemann sphere, or has measure zero. The conjecture...

The term "fantasy" became a central issue with the development of the Kleinian group as a distinctive strand within the British Psycho-Analytical Society...

eventually Donald Winnicott and Paula Heimann, who moved away from the Kleinian group'. Subsequently, 'some new refugees, notably Michael Balint and Michael...

focused on the child's early relations with the mother... the pre-Oedipal or Kleinian mother"; and Lacan's rereading of Freud—"characteristically, Lacan insists...

against becoming aware of the damage done to objects in this way. For Kleinians, at the core of manic defences in narcissism stood what Hanna Segal called...

1997. Bishop is known for his contributions to geometric function theory, Kleinian groups, complex dynamics, and computational geometry; and in particular...

resolution of the conjecture that connected limit sets of finitely generated Kleinian groups are locally connected. He is also the author of a book titled Maps...

vol. II. pp. 841–855. McMullen, Curtis T. (1991). "Rational maps and Kleinian groups". In Satake, Ichiro (ed.). Proceedings of the International Congress...

entities similar to archetypes. Support for this connection comes from the Kleinian analyst Money-Kyrle's observation that Bion's notion of preconceptions...

Darwinian thought; a philosopher of the biological and human sciences; and a Kleinian psychotherapist. Young was born in Highland Park, a suburb of Dallas, Texas...

Knaben. Schafer R (1994-01-01). "Commentary: Traditional Freudian and Kleinian Freudian analysis". Psychoanalytic Inquiry. 14 (3): 462–475. doi:10...

prior experience of the phantasy of the fragmented body. "Lacan was not a Kleinian, though he was the first in France…to decipher and praise her work," but...

phallic monism through his theory of the phallus as signifier; but Kleinians, post-Kleinians, and those influenced by second-wave feminism have all articulated...

psychotherapy to treat patients with schizophrenia. He is influenced by the Kleinian tradition in psychoanalysis and by the French psychoanalyst Jacques Lacan...

("Psychoanalysis and materialist dialectics", 1958). He also contributed to Kleinian clinical practice and thought. José Bleger was born in Ceres, in the province...

algebraic topology on the set of discrete, faithful representations of a Kleinian group into PSL(2,C). Another topology, the geometric topology (also called...

by Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups. Afterwards, in 1980, Benoit Mandelbrot obtained high-quality visualizations...

psychoanalysts – his peers were describing concepts such as ‘object relations’, Kleinian psychoanalysis and ‘attachment theory’. Balint was a student of Sandor...

valuable guide" spoke at that time for most of psychoanalysis outside the Kleinian heartland. Arguably, however, it was in Anna Freud's London years "that...

mathematical theory of Kleinian groups, Jørgensen's inequality is an inequality involving the traces of elements of a Kleinian group, proved by Troels...

difficulties" thereby; but among her younger followers "the trend within the Kleinian group was to take seriously the new view of counter-transference" – Hanna...

the geometry of the Teichmüller space, of mapping class groups and of Kleinian groups. It was introduced by W.J.Harvey in 1978. Let S {\displaystyle S}...

Cannon's work shifted to the study of 3-manifolds, hyperbolic geometry and Kleinian groups and he is considered one of the key figures in the birth of geometric...

PSL 2 ( C ) {\displaystyle {\text{PSL}}_{2}(\mathbb {C} )} , now termed Kleinian groups. As a subgroup of PSL 2 ( C ) {\displaystyle {\text{PSL}}_{2}(\mathbb...

infinite hyperbolic 3-manifolds, together with the density theorem for Kleinian groups and the ending lamination theorem. It also implies the Ahlfors measure...

451–501. (with Richard Canary and Yair Minsky) "The classification of Kleinian surface groups, II: The ending lamination conjecture." Ann. of Math. (2)...

1002/cpa.3160140304 Bers, Lipman (1972), "Uniformization, moduli, and Kleinian groups", The Bulletin of the London Mathematical Society, 4 (3): 257–300...

de l'inconscient, Lacan introduces the concept of objet petit a as the (Kleinian) imaginary part-object, an element which is imagined as separable from...

beautifully expressed outline of Kleinian theory as it was at that time'. In general, 'Riviere often presents Kleinian ideas in ways that are more accessible...

irreducible to the modes in which conscious discourse is articulated. Kleinian phantasy, as a pre-linguistic composition of part-objects and drives, is...

Abikoff, William (1986). "The Euler characteristic and inequalities for Kleinian groups". Proceedings of the American Mathematical Society. 97 (4): 593–601...

MR 3104553. Thurston, William P. (1982). "Three dimensional manifolds, Kleinian groups and hyperbolic geometry". Bulletin of the American Mathematical...

relatively little. An article on 'Omnipotence and sublimation' was based on Kleinian object relations theory: strong tendencies to omnipotence could be constructive...

gasket is the limit set of a group of Möbius transformations known as a Kleinian group. For Euclidean symmetry transformations rather than Möbius transformations...

the Kleinian/Bionian Mode. Karnac. 2009 Grotstein, J. S. But at the Same Time and on Another Level: Volume 2: Clinical Applications in the Kleinian/Bionian...

May 1935 – 15 March 2024) was an American mathematician who worked on Kleinian groups, low dimensional geometry and topology, and related topics. Maskit...

child analyst Melanie Klein. Lindsay was said to have been the only direct Kleinian in the whole of Scotland. Plans for a new intensive psychiatric care unit...

theory. Ego psychology, and 'Anna-Freudianism', were together seen by Kleinians as maintaining a conformist, adaptative version of psychoanalysis inconsistent...

With Lipman Bers (editors): Crash course on Kleinian Groups, Springer 1974 Automorphic forms and Kleinian Groups, Benjamin 1972 Lipman Bers, a Life in...

starting in 1979. It has proved to be a useful tool in studying Fuchsian and Kleinian groups (and certain generalizations) and their limit sets. Patterson is...

century object relations theory, both in the States and among British Kleinians, set about "rethinking megalomania... intent on transforming an obstacle...

}\gamma } Julia set Stable set Limit cycle Periodic point Non-wandering set Kleinian group Alligood, Kathleen T.; Sauer, Tim D.; Yorke, James A. (1996). Chaos...

Three plane trigonometries Trigonometry Circular Parabolic Hyperbolic Kleinian geometry Euclidean plane Galilean plane Minkowski plane Symbol E2 E0,1 E1...

ISBN 978-0-8218-3644-6. Bers, Lipman (1970), "On boundaries of Teichmüller spaces and on Kleinian groups. I", Annals of Mathematics, Second Series, 91 (3): 570–600, doi:10...

Klein surface Klein quadric Klein quartic Kleinian group Kleinian integer Kleinian model Kleinian ring Kleinian singularity Klein's icosahedral cubic surface...

the British Psychoanalytical Society. Steiner, a "prolific London post-Kleinian", is best known for his conceptions of the "pathological organisation"...

ISBN 9780677135601 Bers, Lipman (1972), "Uniformization, moduli, and Kleinian groups", The Bulletin of the London Mathematical Society, 4 (3): 257–300...

{-7}})\right]} − 7 {\displaystyle -7} 1 {\displaystyle 1} ± 1 {\displaystyle \pm 1} Kleinian integers Z [ − 1 ] {\displaystyle \mathbf {Z} \left[{\sqrt {-1}}\right]}...

 xxvii+467, ISBN 978-0-8176-4912-8, Zbl 1180.57001 Maskit, Bernard (1988), Kleinian groups, Grundlehren der Mathematischen Wissenschaften, vol. 287, Springer-Verlag...

selfobject connection with an object of idealization. In terms of 'the Kleinian school ... the idealizing transference may cover some of the territory...

Hyperbolic 3-manifold Hyperbolic manifold Hyperbolic set Hyperbolic tree Kleinian group Lambert quadrilateral Open universe Poincaré metric Saccheri quadrilateral...

Geometric and Functional Analysis, 10 (4), 902–974. "The classification of Kleinian surface groups, I: Models and bounds", Annals of Mathematics, 171 (2010)...

"Post-Freudians…post-Freudian developments." They are distinct from the Kleinian schools of thought and include figures such as Christopher Bollas, D. W...

peer-reviewed scientific journal literature. Henry Ezriel (c1910-1985) was a Kleinian analyst and author who pioneered group analysis at the Tavistock Clinic;...

{\displaystyle M} in a way that generalizes the properties of the action of Kleinian group by Möbius transformations on the ideal boundary S 2 {\displaystyle...

return to the background or to take the stage again. Ferro, trained as a Kleinian, would eventually move away from its focus on the penetrating analysis...

\left[{\tfrac {1}{2}}{\bigl (}1+{\sqrt {-7}}~\!{\bigr )}\right]} are called Kleinian integers The first two rings mentioned above are rings of integers of cyclotomic...

5, 401–487. Thurston, William P. (1982). "Three-dimensional manifolds, Kleinian groups and hyperbolic geometry". Bulletin of the American Mathematical...

complex upper-half plane Fuchsian group Fundamental domain Half-space Kleinian group Modular group Moduli stack of elliptic curves Riemann surface Schwarz–Ahlfors–Pick...

classification for surface homeomorphisms as well as deep results in the theory of Kleinian groups. In geometric group theory the fundamental groups of such bundles...

spaces, hyperbolic geometry of surfaces and 3-manifolds, Fuchsian groups, Kleinian groups, complex dynamics, and low-dimensional geometric analysis. Concerning...

ego-ideal; in depression, it is the negative, hostile, punishing conscience." Kleinians like Herbert Rosenfeld "re-invoked Freud's earlier emphasis on the importance...

object relations theorists have traditionally used a rather different, post-Kleinian terminology to describe the early wounding of narcissistic mortification...

the Riemann sphere—so the homogeneous space SO+(1, 3) / Sim(2) is the Kleinian geometry that represents conformal geometry on the sphere S2. The (identity...

Gibbons, G. W.; Perry, M. J.; Pope, C. N.; Ruback, P. J. (1994-04-10). "Kleinian Geometry and the N=2 Superstring". International Journal of Modern Physics...

of the surface), as Gromov-Hausdorff limits of, appropriately rescaled, Kleinian group actions, and so on. The use of R {\displaystyle \mathbb {R} } -trees...

since 2003. His research deals with low-dimensional geometry and topology, Kleinian groups, hyperbolic geometry, geometric group theory, geometric representation...

transformations which were normally regarded as giving the fundamental Kleinian geometry on projective space, they concerned themselves also with the higher-degree...

different way to study Kleinian groups, discrete subgroups of the symmetries of three-dimensional hyperbolic space. A Kleinian group is geometrically...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

Public Sphere' conferences in the 1990s. Hinshelwood's A Dictionary of Kleinian Thought (1989) was welcomed by Hanna Segal as "a work of great devotion"...

S2CID 56322745. Thurston, William P. (1982). "Three-dimensional manifolds, Kleinian groups and hyperbolic geometry". Bulletin of the American Mathematical...

hyperbolic isometries acting freely and properly discontinuously. See also Kleinian model. Its thick-thin decomposition has a thin part consisting of tubular...

bottle Beltrami–Klein model Klein's Encyclopedia of Mathematical Sciences Kleinian group Klein four-group Vorlesungen über die Entwicklung der Mathematik...

Projection-slice theorem, a theorem about Fourier transforms Bers slice in theory of Kleinian groups Slice preparation or brain slice, an in vitro technique for neurophysiology...

Loewald's under-appreciated work on aesthetics and symbolism reflects this Kleinian orientation of bridging the pre-oedipal (paranoid-schizoid) with the oedipal...

(September 12, 1917 – January 13, 2008) was a British psychoanalyst in the Kleinian tradition, known for her work on unconscious mechanisms in institutional...

ISSN 0025-5831. Bridgeland, Tom (2005-08-15). "Stability conditions and Kleinian singularities". arXiv.org. doi:10.48550/arXiv.math/0508257. Retrieved 2026-04-03...

Institute in 1989. Born married Ann Plowden-Wardlaw, a medical doctor and Kleinian psychoanalyst, with whom he had three children. In 1962, he married Dr...

film actress Edna O'Shaughnessy (1924–2022), South African-born British Kleinian psychoanalyst Edna Owen (1859–1936), American suffragist Edna Pahewa (born...

(University of Michigan) - Nearly Fuchsian surface subgroups of finite covolume Kleinian groups Joel Spruck (Johns Hopkins University) - A Personal Tribute to Louis...

Chapter 8 on Kleinian groups introduces Thurston's work on train track and pleated manifolds Chapter 9 covers convergence of Kleinian groups and hyperbolic...

for a child also becomes masochistic. Melanie Klein, originator of the Kleinian school of psychoanalysis, agreed with the basic structure of the Oedipal...

parallelism Anosov flow Fuchsian group Fuchsian model Hyperbolic motion Kleinian model Models of the hyperbolic plane Pseudosphere Schwarz–Ahlfors–Pick...

the English-speaking world —Object relations theory, Ego psychology and Kleinian thought—is Laplanche's insistence on a distinction between drive (Trieb)...

2016-01-10 Marden, Albert (1974), "The geometry of finitely generated kleinian groups", Annals of Mathematics, Second Series, 99 (3): 383–462, doi:10...

Wilfred Bion, a major figure in Kleinian psychoanalysis. Gooch then became a major proponent of the fledgling Kleinian movement in Southern California...

Malan derived his second triangle from his Tavistock Clinic colleague, the Kleinian group therapist Henry Ezriel. Ezriel had used a three-tiered interpretation...

health professionals than just physicians and PhD-level psychologists. Kleinian analysts had existed within both SCIPI and LAPSI but as minority viewpoints...

ISBN 978-1-63051-515-7. In extreme instances, a relationship [to the Kleinian object can be] dominated by projective identification [and] can trigger...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

word hyperbolic groups. The rank problem is decidable for torsion-free Kleinian groups. The rank problem is open for finitely generated virtually abelian...

Neville Symington, Narcissism: A New Theory (1993) p. xv Donald Meltzer, The Kleinian Development (2008) p. 180 D. Meltzer et al, Exploring the Work of Donald...

the Schwarz–Ahlfors–Pick theorem. Fuchsian group Fuchsian model Kleinian group Kleinian model Poincaré disk model Poincaré half-plane model Prime geodesic...

{\displaystyle H^{2}} and H 3 {\displaystyle H^{3}} are called Fuchsian groups and Kleinian groups, respectively. Borel conjecture Goldberg, Samuel I. (1998), Curvature...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

did not mention her by name. The views of the different Psychoanalysts: Kleinian, Freudian, and those who were not affiliated with either, led to increasing...

empirical infancy research, and elements of contemporary Freudian and Kleinian/Bionian thought—flow into this tradition, which understands relational...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

Polish-American Nobel-laureate endocrinologist Hanna Segal, British leading Kleinian psychoanalyst Michael Sela (1924–2022), Israeli immunologist; President...

C2 and the quotient is called a Picard modular surface. Fuchsian group Kleinian group Langlands, Robert P.; Ramakrishnan, Dinakar, eds. (1992), The zeta...

that in particular gives a resolution of the universal deformation of a Kleinian singularity. Egbert Brieskorn (1971) announced the construction of this...

analogous construction for three-dimensional hyperbolic surfaces is the Kleinian model. Dini's surface Hyperbolic 3-manifold Ideal polyhedron Mostow rigidity...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

existential input in the Arbours has gradually been replaced with a more neo-Kleinian emphasis. The impetus for further development of the existential approach...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

direct from Teichmüller geodesics, Preprint, 2004 The classification of Kleinian surface groups, II: The Ending Lamination Conjecture, Preprint, 2004...

Narcissism: A New Theory (London 1993) p. 101 R. D. Hinshelwood, A Dictionary of Kleinian Thought (London 1989) E. B. Spillius, Melanie Klein Today, 2 vols. (London...

(2012). "Minimal co-volume hyperbolic lattices, II: Simple torsion in a Kleinian group". Annals of Mathematics. 176: 261–301. doi:10.4007/annals.2012.176...

Barros (born 1946) is a Brazilian psychoanalyst. He is influenced by the Kleinian tradition, and has made significant contributions to the post-Bionian tradition...

carried on activities as a psychoanalyst and essayist, contributing to the Kleinian theoretical development and to the cultural and social application of phenomena...

and Tony Award-winning playwright Robert M. Young, Darwin scholar and Kleinian psychotherapist Pierce Brown, author Fred Benners, quarterback for NFL's...

June 2014. "Controversial Discussions (1941–1945)". The New Dictionary of Kleinian Thought. Taylor & Francis. 2011. p. 287. ISBN 978-1-136-71737-6. Rickman...

to studying Riemann surfaces, Keen has worked in hyperbolic geometry, Kleinian groups and Fuchsian groups, complex analysis, and hyperbolic dynamics....

identity, keeping all interchanges at a boring, repetitive level. Building on Kleinian accounts of social phantasy systems and the sense of unquestioned reality...

also gave a 3-dimensional version of this result for Kleinian groups: in this case the Kleinian group Γ is generated by hyperbolic reflections and the...

MR 0636524 Thurston, William P. (1982), "Three-dimensional manifolds, Kleinian groups and hyperbolic geometry", Bulletin of the American Mathematical...

Jones, though she was also influenced by the ideas of Melanie Klein and Kleinians like Joan Riviere, Susan Sutherland Isaacs[circular reference] and Donald...

having fixed Schwarzian derivative. Doyle spirals have been used to study Kleinian groups, discrete groups of symmetries of hyperbolic space, by embedding...

unwillingness to work with the negative transference, unlike the post-Kleinians. Charles Brenner Paul Federn Transference Sigmund Freud, Introductory...

of Aberdeen, supervised by Colin Maclachlan, on the topic of Arithmetic Kleinian Groups and their Fuchsian Subgroups. He was a Royal Society University...

connections to other fields of mathematics; for example, it is the limit set of Kleinian groups; see also Circle packing theorem. The circles of Apollonius may...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

from 1947 but became disillusioned because of the rivalry between the Kleinian and Freudian factions. He was influenced by W. R. D. Fairbairn and D. W...

topology, knot theory, surface diffeomorphisms, hyperbolic geometry, and Kleinian groups. He received in 1985 a bronze medal from CNRS and from 1989 to 1994...

original work that links two distinct areas of mathematics—the dynamics of Kleinian group actions and the iteration of holomorphic and anti-holomorphic maps...

walks the tunnels underneath the hospital and burns herself. She begins Kleinian analysis with a psychoanalyst, Mrs. Jones, is discharged from Warneford...

intersubjective psychoanalysis: Etchegoyen's 'retreat to a conservative Kleinian "one-person psychology"' from Racker's influence would then appear as something...

it was in this latter, rather different sense of the term that later Kleinians would tend to use it: 'an invitation to dissolution and undoing...leaving...

1090/S0002-9904-1974-13432-4. Bers, Lipman (1972). "Uniformization, moduli, and Kleinian groups". Bulletin of the London Mathematical Society. 4 (3): 257–300. doi:10...

Henry Ezriel (c1910-1985) was a Kleinian analyst who pioneered group analysis at the Tavistock Clinic. He is best known as the originator of one of the...

the possibilities of psychoanalysis and undertook an analysis with the Kleinian Hanna Segal. However she found its premises on instinctual drives too limiting...

Independent Group contained analysts who identified with neither the Kleinians nor the Anna Freudians. They were more concerned with the relationships...

November 1945 in Pihtipudas) is a Finnish mathematician who does research on Kleinian groups and their geometric properties (such as limit sets). Tukia received...

clarifying the classic notion of geometric finiteness for higher-dimensional Kleinian groups in constant and variable negative curvature. In a 1993 paper Bowditch...

on sphere packing, in particular, Apollonian packing and limit sets of Kleinian groups. Boyd has studied number theory, such as diophantine approximation...

fantasy from the point of view of ego psychology, both subsuming its use in Kleinian theory, and providing the building block for Brenner's later development...

SY88. Schoen, R.; Yau, S.-T. (1988). "Conformally flat manifolds, Kleinian groups and scalar curvature". Inventiones Mathematicae. 92 (1): 47–71. Bibcode:1988InMat...

Zbl 0551.58011. Schoen, R.; Yau, S.-T. (1988). "Conformally flat manifolds, Kleinian groups and scalar curvature". Inventiones Mathematicae. 92 (1): 47–71....

curve complex and the relative Teichmüller space" "Semiconjugacies between Kleinian group actions on the Riemann sphere" "Biologists join the dots", Nature...

complex Banach manifolds". In Komori, Y.; Markovic, V.; Series, C. (eds.). Kleinian groups and hyperbolic 3-manifolds (Warwick, 2001). London Math. Soc. Lecture...

rapprochement began between Freudians and Jungians. There were meetings between Kleinians, Middle Group Freudians and Jungians in the 1940s all of which helped...

of the surface), as Gromov-Hausdorff limits of, appropriately rescaled, Kleinian group actions, and so on. The use of R-trees machinery provides substantial...

3, pp. 263–282 Floyd, William J., Group completions and limit sets of Kleinian groups. Inventiones Mathematicae, vol. 57 (1980), no. 3, pp. 205–218 Karlsson...

nuanced attitude to Kleinianism, which saw her increasingly aligned with the Middle Group of British psychoanalysts, seeing Kleinianism as marred by a tendency...

Hilbert's twenty-second problem is the penultimate entry in the celebrated list of 23 Hilbert problems compiled in 1900 by David Hilbert. It entails the...

Anna Freud in 1938, the hostility between the orthodox Freudians and Kleinians in the British Society grew more intense. Jones chaired a number of "extraordinary...

Green Child Guidance Clinic and in private practice, and studied with Kleinian psychoanalysts including Wilfred Bion. His first book on psychoanalysis...

In the mathematical theory of Kleinian groups, the Riley slice of Schottky space is a family of Kleinian groups generated by two parabolic elements. It...

In mathematics, density theorem may refer to Density conjecture for Kleinian groups Chebotarev's density theorem in algebraic number theory Jacobson density...

the capacity for ambivalence. See also The Life and Death Instincts in Kleinian Object Relations Theory. Ian Dishart Suttie (1898-1935) wrote the book...

the Psychoanalytical Congress in 1949 in Zurich, led to a rift with the Kleinian group of analysts because she presented a different view of the importance...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

incompatibility (help) Segal, Hanna (1981). The work of Hanna Segal: A Kleinian approach to clinical practice. New York, NY: Jason Aronson. ISBN 978-0-87668-422-1...

only psychoanalytic association in Europe wherein Freudian, Neo-Freudian, Kleinian, relational, interpersonal, and even Lacanian or Jungian analysts actually...

Caroline Series (born 1951), English specialist in hyperbolic geometry, Kleinian groups and dynamical systems Lily Serna (born 1986), Israeli-Australian...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

infinite hyperbolic 3-manifolds, together with the density theorem for Kleinian groups and the ending lamination theorem. It also implies the Ahlfors measure...

great, which is one of the obstacles facing the analytic attempt at cure. Kleinian thought distinguishes between true reparation and manic reparation, the...

In the theory of Riemann surfaces and hyperbolic geometry, the triangle group (2,3,7) is particularly important for its connection to Hurwitz surfaces...

Riley 2013. Thurston, William P. (1982). "Three dimensional manifolds, Kleinian groups and hyperbolic geometry". Bulletin of the American Mathematical...

example, Cannon and Thurston showed that the surface subgroup of the arising Kleinian group has limit set which is a sphere-filling curve. The three types of...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

surface is a discrete subgroup of the Möbius group (see Fuchsian group and Kleinian group). A particularly important discrete subgroup of the Möbius group...

was secondary. He had already found himself in conflict with dominant Kleinian theories that children's emotional problems are almost entirely due to...

Michael Fordham and associates in London, would be significantly closer to a Kleinian approach and therefore, concerned with analysis of the transference and...

(1979), edited by Robert Hermann, who provided a lengthy appendix on "Kleinian Mathematics from an Advanced Standpoint". It was translated into Chinese...

Crawley-Boevey, William; Holland, Martin P. (1998), "Noncommutative deformations of Kleinian singularities", Duke Mathematical Journal, 92 (3): 605–635, doi:10...

different attitudes towards theoretical schools within psychoanalysis such as Kleinian or Lacanian approaches. S Some psychoanalytic institutes have been accredited...

Clifford M. Scott, an analysand of Melanie Klein. She wanted to learn Kleinian analysis but was disappointed when Scott did not work in the expected manner...

Josef Paul Kleihues, 71, German architect. Donald Meltzer, 81, American Kleinian psychoanalyst. Milton Pollack, 97, American federal judge who ruled on...

deintegration - as opposed to disintegration - to denote a state akin to the Kleinian depressive position, where, as a result of a sense of major ruptures, or...

In mathematics, Mumford's compactness theorem states that the space of compact Riemann surfaces of fixed genus g > 1 with no closed geodesics of length...

the Kleinian model, an analogous construction for 3-manifolds Fundamental polygon Matsuzaki, K.; Taniguchi, M.: Hyperbolic manifolds and Kleinian groups...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

complex Banach manifolds". In Komori, Y.; Markovic, V.; Series, C. (eds.). Kleinian groups and hyperbolic 3-manifolds (Warwick, 2001). London Math. Soc. Lecture...

theories of quasiconformal mappings (following Ahlfors and Lipman Bers) and Kleinian groups. With James Eells in 1967 he mathematically described, for any compact...

two-dimensional hyperbolic geometry", in D.B.A. Epstein (ed.), Low dimensional topology and Kleinian groups, Cambridge University Press, ISBN 978-0-521-33905-6...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

Zbl 0368.53025. Thurston, William P. (1982), "Three-dimensional manifolds, Kleinian groups and hyperbolic geometry", Bulletin of the American Mathematical...

– something that was of great importance in his rapprochement between Kleinian ideas and ego psychology. Sandler emphasised early in his work (1959) the...

van Hoboken, Joris (2002), Platonic solids, binary polyhedral groups, Kleinian singularities and Lie algebras of type A,D,E (PDF), Master's Thesis, University...

his interest in real-life experiences and situations was "alien to the Kleinian outlook". Furthermore, Bowlby explained in an interview with Milton Stenn...

Polyagailo gave a characterization of co-Hopficity for geometrically finite Kleinian groups of isometries of H n {\displaystyle \mathbb {H} ^{n}} without 2-torsion...

British Journal of Medical Psychology, 64, 307– 316. (1992) "Critique of a Kleinian case presentation". British Journal of Medical Psychology, 65, 309 – 317...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

in American object relations theory, ego psychology, self psychology, Kleinian theory, attachment theory and neuropsychoanalysis. Several current and...

connections to other fields of mathematics; for example, it is the limit set of Kleinian groups. The configuration of a circle tangent to four circles in the plane...

Part A, Part B 1980 (Cartanian meant in the sense of Élie Cartan) 1979: "Kleinian mathematics from an advanced standpoint", appendices to Felix Klein (M...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

3-manifolds. 1971 Lipman Bers (Columbia University): Uniformization, moduli, and Kleinian groups. 1971 Armand Borel (Institute for Advanced Study): Algebraic groups...

Isaacs presented an influential position paper of 1943 setting out the Kleinian view of phantasy . There she maintained that “Unconscious phantasies exert...

Crystallographic group Fuchsian group Modular group Congruence subgroup Kleinian group Discrete Heisenberg group Clifford–Klein form Borel subgroup Arithmetic...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

3-dimensional hyperbolic geometry, minimal surface theory, hyperbolic groups, and Kleinian groups with their associated geometry, topology, and group theory. In 1973...

ISBN 978-0-02-918440-0. Segal, H. (1981). The work of Hanna Segal: A Kleinian approach to clinical practice. New York, NY: Jason Aronson. ISBN 978-0-87668-422-1...

Martha Harris, née Dunlop (13 April 1919 – November 1987) was a British Kleinian psychoanalyst of children and adults. From 1960 to 1980 she was head of...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

he chose to recount and analyze in The Interpretation of Dreams. From a Kleinian viewpoint, Anzieu considered Freud's 'elaboration of psychoanalytic theory...

'classical', led by the Zurich-inspired Adler, the other developmentally and Kleinian inspired led by Fordham. In 1976 the differences proved insuperable and...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

Schafernaker – meteorologist and broadcaster Hanna Segal (1918-2011) – Kleinian psychoanalyst Karol Sikora (born 1948) – oncologist Krystyna Skarbek (1908–1952)...

Education: Programs and Practices, Volume 5, pgs. 100–102 R.S. Millman – Kleinian transformation geometry, Amer. Math. Monthly 84 (1977) UNESCO - New trends...

Its approach was in marked contrast to the then dominant influence of Kleinian Psychoanalysis in the Child Guidance Movement, as practised for instance...

The Analytic Attitude (1983), Retelling a Life (1992), The Contemporary Kleinians of London (1997), Bad Feelings (2003), Insight and Interpretation (2003)...

(1987) Cano, Angel; Navarrete, Juan Pablo; Seade, José (2013). Complex Kleinian Groups. Progress in Mathematics. Vol. 303. doi:10.1007/978-3-0348-0481-3...

nothing new but this space can be explicitly identified with torsion-free Kleinian groups with the Chabauty topology. Algebraic topology (object) William...

the universal module with a derivation from the ring to it. Kleinian integer The Kleinian integers are the integers of the imaginary quadratic field of...

1827. Bianchi group Classical modular curve Fuchsian group J-invariant Kleinian group Mapping class group Minkowski's question-mark function Möbius transformation...

During those years he mentored a number of psychoanalysts interested in Kleinian approaches, including James Gooch (psychoanalyst) and other founding members...

theory (Rutgers University) Peter Shalen (1962) – low-dimensional topology, Kleinian groups, hyperbolic geometry (University of Illinois at Chicago) Robert...

Robert Hermann (1979) "Conformal and Non-Euclidean Geometry in R3 from the Kleinian Viewpoint", Appendix A, page 367 of Development of Mathematics in the 19th...

child psychoanalysis and a critic of the "Kleinian" school helmed by Melanie Klein; she accepted some Kleinian contributions, such as a focus on the importance...

alternating link complements are hyperbolic". Low-dimensional topology and Kleinian groups (Coventry/Durham, 1984). London Mathematical Society Lecture Note...

1016/s0001-8708(71)80003-8 Maskit, Bernard (1988). "Poincaré's theorem". Kleinian groups. Grundlehren der mathematischen Wissenschaften. Vol. 287. Springer-Verlag...

psicoanalisi: 1966 (translation: New directions of Psychoanalysis). Fornari's Kleinian belief reaches its peak in the specifics of warfare research [Psicoanalisi...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

replacing unfocused appeals to sources as diverse as Aristotle's Poetics, Kleinian play therapy, and Albert Bandura's social learning theory. This Anger-Aggression...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

Indra's Pearls: The Vision of Felix Klein is a geometry book written by David Mumford, Caroline Series and David Wright, and published by Cambridge University...

Meets Plane at Infinity (2014/08/14) Danny Calegari, Kleinian, a tool for visualizing Kleinian groups, Geometry and the Imagination 4 March 2014. [3]...

Psychoanalytic Societies. Among his many articles on addictions, he wrote A Kleinian understanding of Addictions that challenges the idea that there is a single...

around Melanie Klein, the article aroused considerable hostility from Kleinians, in a way anticipating the later Controversial discussions - hostility...

work on social and cultural imaginaries, Cohen also drew on both the post-Kleinian and Lacanian traditions in psychoanalysis. Cohen's ground-breaking analysis...

In hyperbolic geometry, Thurston's double limit theorem gives condition for a sequence of quasi-Fuchsian groups to have a convergent subsequence. It was...

is 9 or 10. Thurston, William P. (1982). "Three Dimensional Manifolds, Kleinian Groups and Hyperbolic Geometry" (PDF). American Mathematical Society. 6...

During the controversial discussions, she compared her mother and the Kleinians to Goebbels, alleging that they relied on slogans instead of "scientific...

theorist in non-Euclidean geometry, known for the Klein bottle and the Kleinian group Edwin F. Ladd, 65, U.S. Senator for North Dakota since 1921 As Chinese...

In geometry, a tame manifold is a manifold with a well-behaved compactification. More precisely, a manifold M {\displaystyle M} is called tame if it is...

gained further steam due to the influx of ideas from Europe including Kleinian analysis. Porder’s book stimulated critiques about this widening applicability...

In mathematics, the simultaneous uniformization theorem, proved by Bers (1960), states that it is possible to simultaneously uniformize two different Riemann...