Timeline for What is the Euler characteristic of a mapping space?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Oct 4, 2015 at 19:03 | vote | accept | Theo Johnson-Freyd | ||
| Oct 4, 2015 at 16:40 | history | edited | Qiaochu Yuan | CC BY-SA 3.0 |
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| Oct 4, 2015 at 16:05 | comment | added | Qiaochu Yuan | If you don't like that both Euler characteristics were $0$ here you can add a point to both $S^1$ and $S^3$ but I still don't think you get a reasonable number. Everything would work out much more nicely if the Euler characteristic of $\Omega X$ were the inverse of the Euler characteristic of $X$, but of course this is very far from true. Loosely speaking the problem is that the Euler characteristic is "additive" (behaves nicely wrt some homotopy colimits) but taking mapping spaces is "multiplicative" (behaves nicely wrt homotopy limits). | |
| Oct 4, 2015 at 15:52 | history | answered | Qiaochu Yuan | CC BY-SA 3.0 |