Timeline for How does one calculate homotopy classes for group coset spaces?
Current License: CC BY-SA 3.0
11 events
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Oct 2, 2013 at 13:55 | comment | added | Danny Ruberman | I don't think you need a crusade for this; the question is simply ambiguous, and the OP should state more clearly what is being asked for: some homotopy groups of these spaces, a homotopy classification of these spaces, or perhaps something entirely different. | |
Oct 2, 2013 at 9:53 | comment | added | Fernando Muro | I'm pursuing a crusade so that people do not confuse being homotopic, which is a relation among maps, with being homotopy equivalent, a relation for spaces | |
Oct 2, 2013 at 0:20 | comment | added | Allen Knutson | Noncompact Lie groups are homotopic to their maximal compact subgroups, so you can reduce to those. | |
Oct 1, 2013 at 23:48 | history | edited | Ricardo Andrade | CC BY-SA 3.0 |
replaced long link with redirect with shorter direct link
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Oct 1, 2013 at 21:48 | comment | added | j.c. | Witten computes $\pi_4(SU(3))$ and $\pi_5(SU(3))$ in his paper so I suspect that the OP wishes to know how to calculate the homotopy groups of group coset spaces. | |
Oct 1, 2013 at 21:41 | history | edited | j.c. |
remove tags
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Oct 1, 2013 at 21:20 | review | Close votes | |||
Oct 2, 2013 at 14:31 | |||||
Oct 1, 2013 at 21:12 | answer | added | Peter Crooks | timeline score: 9 | |
Oct 1, 2013 at 21:04 | comment | added | Fernando Muro | I think this question is not complete enough. In particular, it is not stated what homotopy classes of maps you want to compute. | |
Oct 1, 2013 at 20:59 | review | First posts | |||
Oct 1, 2013 at 21:01 | |||||
Oct 1, 2013 at 20:43 | history | asked | homotopyquestions | CC BY-SA 3.0 |