Timeline for In a topological group, is $G/A\to G/B$ a covering map if $A$ is open in $B$?
Current License: CC BY-SA 4.0
7 events
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| Mar 26 at 7:12 | history | edited | Linus |
edited tags
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| Mar 24 at 10:45 | vote | accept | Linus | ||
| Mar 23 at 17:30 | answer | added | Tom Goodwillie | timeline score: 4 | |
| Mar 23 at 15:53 | history | edited | Linus | CC BY-SA 4.0 |
added 595 characters in body; edited title
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| Mar 22 at 11:57 | comment | added | David Roberts♦ | If $G\to G/B$ has a local section around the basepoint of $G/B$, then you have that $G/A \to G/B$ is a covering space, since this is an associated bundle for the $B$-set $B/A$. This is more of a standard fact to check, methinks. So if $B$ happens to be a Lie group, and $G$ is Hausdorff, then $G\to G/B$ is locally trivial; cf also mathoverflow.net/a/96107/4177 | |
| Mar 22 at 10:11 | history | edited | YCor | CC BY-SA 4.0 |
edited tags, made title more specific
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| Mar 22 at 10:08 | history | asked | Linus | CC BY-SA 4.0 |