Talk:Space form

The remark about Milnor's exotic spheres doesn't make any sense! Obviously, they are not aspherical! Are there any examples of fake smooth structures on compact aspherical manifolds?

Also, why does the statement of the space form conjecture speak of Riemannian manifolds? The metric seems to have no bearing on the question.

This perplexes me as well. In other words, it would be nice if someone explains the relation between the space form conjecture and space forms. Oded (talk) 15:18, 21 April 2008 (UTC)[reply]

I am not a topologist. However here is an answer from a topologist I consulted regarding to the first question: "It would be wrong to think that the diffeomorphism type is unique – tori connected sum Milnor spheres gives a counterexample. ( I think this is what the author was trying to say.)". Oded (talk) 15:18, 21 April 2008 (UTC)[reply]

Content Disclaimer

Informasi ini disarikan dari Wikipedia dan disajikan kembali untuk tujuan edukasi. Konten tersedia di bawah lisensi CC BY-SA 3.0. Kami tidak bertanggung jawab atas ketidakakuratan data yang bersumber dari kontribusi publik tersebut.

  1. The information displayed on this website is sourced in part or in whole from Wikipedia and has been adapted for the purpose of restating it. We strive to provide accurate and relevant information, however:
  2. There is no guarantee of absolute accuracy. Wikipedia is an open, collaborative project that can be edited by anyone, so information is subject to change.
  3. It is not intended to constitute professional advice. The content displayed is for informational and educational purposes only. For important decisions (e.g., medical, legal, or financial), please consult a professional.
  4. Content copyright. Wikipedia is licensed under the Creative Commons Attribution-ShareAlike License (CC BY-SA). This means that content may be reused with appropriate attribution and shared under a similar license.
  5. Responsible use. Any risk arising from the use of information from this website is entirely the responsibility of the user.