Timeline for What is the dimension of $M/G$ if it is a manifold and $G$ acts freely and smoothly?
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| Apr 13, 2017 at 12:19 | history | edited | CommunityBot |
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| Sep 1, 2016 at 3:58 | comment | added | Misha | One can relax properness to the notion used by Palais in his paper on slices of Lie group actions. One should then check if for free group actions Palais condition is equivalent to Hausdorfness of $M/G$ (there is a good chance that this is true since this holds for actions of discrete groups). R. Palais, On the existence of slices for actions of non-compact Lie groups. Ann. of Math. (2) 73 (1961) 295-323. | |
| Aug 31, 2016 at 17:05 | comment | added | William of Baskerville | It should be true if $M$ is locally trivial over $M/G$ with the fibre $G$. Some sufficient conditions for this are contained in the book Homotopical Topology by Fomenko and Fuchs, page 107. | |
| Aug 31, 2016 at 12:44 | history | asked | SHP | CC BY-SA 3.0 |