Timeline for The classifying space of any topological group is paracompact and locally contractible
Current License: CC BY-SA 4.0
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| Dec 14, 2023 at 18:20 | history | edited | Daniel Asimov | CC BY-SA 4.0 |
earrings —> earring
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| Dec 14, 2023 at 14:36 | comment | added | David White | @YCor Ah, yes, I'm thinking and writing like a homotopy theorist, not a point-set topologist. Indeed, it's $\pi_1$-injective as the linked answer by Andre Henriques makes clear. At the point where all the earrings meet, Andre's answer shows that $BG$ cannot be locally contractible. | |
| Dec 14, 2023 at 14:28 | comment | added | YCor | Could you expand on "contain Hawaiian earrings"? The plane contains Hawaiian earrings yet is locally contractible. Do you mean anything more specific? Such as assuming that the embedding is $\pi_1$-injective? | |
| Dec 14, 2023 at 14:04 | history | answered | David White | CC BY-SA 4.0 |