Timeline for Equivariant based loop space for free G-spaces
Current License: CC BY-SA 3.0
4 events
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| Mar 20, 2013 at 11:21 | comment | added | Ronnie Brown | It seems to me you could also look at the use of the fundamental groupoid, since if $G$ acts on $X$ then it also acts on the fundamental groupoid $\pi_1 X$ and also on $\pi_1(X,A)$ provided $A$ is a union of orbits. For more details, and applications to determining $\pi_1 X/G$, see Chapter 11 of my book "Topology and Groupoids". These methods have not been extended to determine $\pi_n(X/G,A/G)$, $n \geqslant 2$, as far as I am aware. There could be interest in path models of $\pi_1(X,A). | |
| Mar 20, 2013 at 9:17 | vote | accept | Tom Sutton | ||
| Mar 20, 2013 at 9:17 | comment | added | Tom Sutton | Thanks very much for your answer Peter. I'd managed to confuse myself in a couple of places. | |
| Mar 20, 2013 at 1:15 | history | answered | Peter May | CC BY-SA 3.0 |