Timeline for For which classes of topological spaces Euler characteristics is defined?
Current License: CC BY-SA 2.5
9 events
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May 22, 2017 at 19:59 | answer | added | D1811994 | timeline score: 2 | |
May 30, 2010 at 17:07 | vote | accept | Dmitri Panov | ||
May 30, 2010 at 1:28 | history | edited | Dmitri Panov | CC BY-SA 2.5 |
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May 30, 2010 at 0:02 | comment | added | Qiaochu Yuan | There is a notion of "combinatorial Euler characteristic," but it's not homotopy invariant; see mathoverflow.net/questions/1184/… . | |
May 29, 2010 at 23:03 | comment | added | algori | The open interval is a(n infinite) CW-complex. | |
May 29, 2010 at 22:38 | answer | added | algori | timeline score: 15 | |
May 29, 2010 at 21:05 | history | edited | Dmitri Panov | CC BY-SA 2.5 |
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May 29, 2010 at 19:40 | comment | added | Tyler Lawson | Much like divergent series, there is more than one extension of the Euler characteristic to spaces other than finite CW-complexes. E.g. there is the rational-cohomology Euler characteristic or the Morava K-theory Euler characteristic K(n), which assign 1 and p^n to the classifying space of a cyclic group of order p respectively, or one can apply divergent series techniques to form the alternating sum of dimensions. | |
May 29, 2010 at 19:19 | history | asked | Dmitri Panov | CC BY-SA 2.5 |