Timeline for Homotopy of group actions
Current License: CC BY-SA 4.0
8 events
when toggle format | what | by | license | comment | |
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Mar 15, 2019 at 20:38 | vote | accept | Ali Taghavi | ||
Mar 13, 2019 at 23:54 | history | edited | Denis Nardin | CC BY-SA 4.0 |
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Mar 13, 2019 at 22:55 | comment | added | Denis Nardin | Also, if I'm not mistaken, question 1 is true for any action, since $S^1$ is a connected Lie group (so for every $g$, $\alpha_g$ is homotopic to the identity...) | |
Mar 13, 2019 at 22:54 | history | edited | Denis Nardin | CC BY-SA 4.0 |
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Mar 13, 2019 at 22:47 | comment | added | Denis Nardin | @YCor Sorry, the addition of $G=S^1$ was later. Will amend my answer (pretty much the same thing works, of course) | |
Mar 13, 2019 at 22:26 | comment | added | YCor | This answers the second question. For the first, just take $n\ge 2$ and choose the nontrivial action using a element of order 2 and determinant 1. | |
Mar 13, 2019 at 22:00 | history | edited | Denis Nardin | CC BY-SA 4.0 |
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Mar 13, 2019 at 21:47 | history | answered | Denis Nardin | CC BY-SA 4.0 |