Timeline for The convex hull of a manifold whose cobordism class is trivial
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| S Jun 4, 2022 at 16:22 | vote | accept | Ali Taghavi | ||
| Jun 4, 2022 at 16:21 | vote | accept | Ali Taghavi | ||
| S Jun 4, 2022 at 16:22 | |||||
| May 16, 2022 at 18:25 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
(Very) Minor Math Jaxing and typo fixing (added question marks)
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| May 15, 2022 at 4:02 | comment | added | Ryan Budney | @DannyRuberman: Thanks, yes I missed that. | |
| May 15, 2022 at 2:28 | comment | added | Danny Ruberman | @RyanBudney I think you missed the word topological in Zerox's comment. On the other hand, the original question is a bit ambiguous about the category one is working in. The first part could be in the smooth/PL/topological category, and might have different answers. The second part presumably refers to smooth manifolds (because of the Riemannian metric). | |
| May 14, 2022 at 23:45 | comment | added | Ryan Budney | @Zerox, I doubt it, but if you can find such a claim somewhere, you will have found a contradiction. For example, the Poincare Dodecahedral Space does not bound a contractible 4-manifold, due to the Rochlin invariant. | |
| May 14, 2022 at 14:19 | history | became hot network question | |||
| May 14, 2022 at 12:41 | answer | added | Danny Ruberman | timeline score: 12 | |
| May 14, 2022 at 11:33 | comment | added | Zerox | @RyanBudney I think Freedman proved that every homology 3-sphere bounds a contractible topological 4-manifold. | |
| May 14, 2022 at 7:31 | review | Close votes | |||
| May 16, 2022 at 18:25 | |||||
| May 14, 2022 at 7:12 | comment | added | Jonny Evans | @RyanBudney Snap! | |
| May 14, 2022 at 7:11 | answer | added | Jonny Evans | timeline score: 8 | |
| May 14, 2022 at 7:09 | comment | added | Ryan Budney | Generally no. For example, plenty of homotopy spheres do not bound contractible manifolds. Many (?most?) homology 3-spheres do not bound contractible 4-manifolds, yet all 3-manifolds are null cobordant. | |
| May 14, 2022 at 6:22 | history | edited | Ali Taghavi | CC BY-SA 4.0 |
added 289 characters in body; edited tags
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| May 14, 2022 at 6:15 | history | asked | Ali Taghavi | CC BY-SA 4.0 |