Timeline for A Comparison between $\pi_{1}$ of cohomology and cohomology of $\pi_{1}$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 4, 2015 at 23:34 | vote | accept | Ali Taghavi | ||
| Nov 15, 2014 at 7:46 | comment | added | Ali Taghavi | So the fundamental group of the quotient is order 8 group quternions. As the free action defines a universal covering space. Now what is the shape of the quotient space?Another question: could you please expand your answer with a possible revision or some reference? Or at least email me some more information? Any way, thanks again for your interesting answer and comment. | |
| Nov 13, 2014 at 23:05 | history | edited | Will Sawin | CC BY-SA 3.0 |
added 282 characters in body
|
| Nov 13, 2014 at 23:01 | comment | added | Will Sawin | @AliTaghavi No, take a finite non-abelian subgroup of a connected topological group - say the quaternions inside $SU_2$. | |
| Nov 13, 2014 at 22:54 | comment | added | Ali Taghavi | thanks for the answer. I should concentrate on it. But another question: In this question, to what extent I need to consider "abelian" group. This is a motivation to ask:Let $H$ be a closed (but not necessarily normal) subgroup of a topological group $G$. Then is it true that the topological space $G/H$, left cosets, has an abelian fundamental group? | |
| Nov 13, 2014 at 22:45 | history | answered | Will Sawin | CC BY-SA 3.0 |