Timeline for Betti numbers as characteristic numbers?
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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Dec 26, 2016 at 16:38 | history | edited | Qfwfq | CC BY-SA 3.0 |
edited body
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Dec 25, 2016 at 18:41 | comment | added | Oscar Randal-Williams | By embedding a finite CW complex in Euclidean space, thickening it up to a (framed) manifold, and taking its double, you can get any betti numbers but have trivial tangent bundle and hence trivial characteristic classes. | |
Dec 25, 2016 at 18:40 | answer | added | Qiaochu Yuan | timeline score: 17 | |
Dec 25, 2016 at 18:38 | comment | added | Gregory Arone | Characteristic numbers are cobordism invariant, but Betti numbers are not. | |
Dec 25, 2016 at 18:08 | history | asked | Qfwfq | CC BY-SA 3.0 |