Timeline for Is $\text{Sym}(\omega)/\text{(fin)}$ embeddable in $\text{Sym}(\omega)$? [duplicate]
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Nov 27, 2023 at 7:19 | comment | added | Dominic van der Zypen | Right -- apologies for the duplicate | |
| Nov 27, 2023 at 7:18 | vote | accept | Dominic van der Zypen | ||
| Nov 26, 2023 at 19:53 | comment | added | YCor | @JoelDavidHamkins yes that's exactly what's used in the original answer to the question, implying that there's a subset $X$ in this group whose centralizer is not equal to the centralizer of any countable subset of $X$. This implies that this group doesn't embed into any group with a metrizable separable topology. | |
| Nov 26, 2023 at 19:00 | history | closed |
Emil Jeřábek Jeremy Rickard Joseph Van Name Sam Hopkins Yemon Choi |
Duplicate of Is $S_\omega/F_\omega$ embeddable to $S_\omega$? | |
| Nov 26, 2023 at 18:11 | comment | added | YCor | Exact duplicate of your own question! | |
| Nov 26, 2023 at 17:42 | review | Close votes | |||
| Nov 26, 2023 at 19:02 | |||||
| Nov 26, 2023 at 16:58 | answer | added | Account will self-destruct | timeline score: 5 | |
| Nov 26, 2023 at 16:25 | comment | added | Joel David Hamkins | Perhaps we can somehow use the fact that every collection of disjoint sets in $\omega$ is countable, but there are uncountable collections of sets that are disjoint mod finite. | |
| Nov 26, 2023 at 15:09 | history | asked | Dominic van der Zypen | CC BY-SA 4.0 |