Timeline for Any PL-homology-manifold is homotopy equivalent to a manifold
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Dec 14, 2015 at 19:59 | comment | added | Misha | At least some of the examples they construct are homotopy spheres. | |
| Dec 14, 2015 at 19:28 | comment | added | Igor Rivin | @Misha Re homotopy equivalence vs homeomorphism, that thought has occurred to me, but it seemed to me that it should not be hard to check that they are not homotopy equivalent, either. I could, of course, be wrong. | |
| Dec 14, 2015 at 17:30 | comment | added | Misha | Igor: There are two issues with this example: (a) It is not a simplicial complex (actually, such homology manifolds cannot be simplicial complexes since they have to be homogeneous), (b) PI is asking about homotopy-equivalence, not a homeomorphism. The obstruction to being a manifold in BFMW-examples is $p_0$ (0-th Pontryagin class), I do not know if it is homotopy invariant or not. | |
| Dec 14, 2015 at 16:29 | history | edited | Igor Rivin | CC BY-SA 3.0 |
fixed typo
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| Dec 14, 2015 at 16:16 | history | answered | Igor Rivin | CC BY-SA 3.0 |