Timeline for Being contained in a compact set
Current License: CC BY-SA 4.0
8 events
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Jun 15, 2023 at 8:08 | history | edited | Taras Banakh | CC BY-SA 4.0 |
added 3722 characters in body
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Jun 15, 2023 at 6:04 | comment | added | Taras Banakh | @Arno You are right this example separates (1) and (2). So now the problem is to separate (2) and (3), or prove that they are equivalent (at least under some separation axioms). | |
Jun 15, 2023 at 5:37 | vote | accept | Arno | ||
Jun 15, 2023 at 5:37 | comment | added | Arno | If I'm not missing something, the example already separates Properties (1) and (2) - any sequence in $A$ should have a converging subsequence, too. (And the space is a great example in many other ways, thanks!) | |
Jun 14, 2023 at 21:20 | comment | added | Taras Banakh | @Wojowu Thank you for the comment. I added more details to my answer. Is it Ok now? | |
Jun 14, 2023 at 21:20 | history | edited | Taras Banakh | CC BY-SA 4.0 |
Added more details
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Jun 14, 2023 at 21:09 | comment | added | Wojowu | I imagine you take this hedgehog as your $\mathcal X$, what would your $A$ be? | |
Jun 14, 2023 at 20:46 | history | answered | Taras Banakh | CC BY-SA 4.0 |