Timeline for Is there Domain Invariance for Alexandrov spaces?
Current License: CC BY-SA 2.5
4 events
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| Apr 22, 2010 at 1:23 | comment | added | Igor Belegradek | For Alexandrov spaces (or more generally for Hausdorff paracompact locally contractible spaces) Alexander-Spanier and singular cohomology coincide, as shown in Chapter 6, Section 9, Theorem 1 of Spanier's "Algebraic topology". However this does not simplify matters; how does one prove $H^n(X-x)=0$ for singular cohomology? This is worrisome. | |
| Apr 21, 2010 at 19:04 | comment | added | Sergei Ivanov | I was asked this question by Yuri Burago who was asked by another guy whose name I forgot. I just want to handle him all details I can. | |
| Apr 21, 2010 at 17:21 | comment | added | Anton Petrunin | Sergei, It seems you are convinced that it is true, but you really want to have a clean proof --- that probably means that you have an application. Can I ask what is it? | |
| Apr 20, 2010 at 15:58 | history | answered | Sergei Ivanov | CC BY-SA 2.5 |