Timeline for Separable topology on a group
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Nov 22, 2018 at 21:30 | comment | added | Leiderman | Sure. Even a closed subgroup of a separable group, with the induced topology, is in general not separable. | |
| Nov 22, 2018 at 19:12 | comment | added | YCor | By the way it is easy to see that every abelian group of cardinal $\le 2^c$ embeds as a subgroup of $(\mathbf{Q}\times\mathbf{Q}/\mathbf{Z})^c$, which is is a separable Hausdorff topological group. This is, still, not a trivial proof of the result you quote, because a subgroup of a separable group, with the induced topology, is in general not separable. | |
| Nov 22, 2018 at 19:01 | answer | added | YCor | timeline score: 6 | |
| Nov 22, 2018 at 18:38 | history | edited | Martin Sleziak |
added top-level tag - this one seems closets to topological groups; https://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are
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| Nov 22, 2018 at 18:31 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
added doi + link
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| Nov 22, 2018 at 15:37 | comment | added | YCor | I guess the condition that the group has cardinal $\le 2^c$ is missing in the sentence "It is not true..." (otherwise this is trivially true) and in the question "It is true..." (otherwise there are trivial counterexamples). | |
| Nov 22, 2018 at 15:35 | review | First posts | |||
| Nov 22, 2018 at 15:35 | |||||
| Nov 22, 2018 at 15:31 | history | asked | Leiderman | CC BY-SA 4.0 |