Timeline for An example of a $T_1$ space where all closed $G_\delta$ sets are zero-sets, but it isn't normal
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jun 12, 2021 at 13:55 | comment | added | Joseph Van Name | @NateEldredge That is a nice simple counterexample. Zero-sets are almost always talked about not in the context of all topological spaces but instead in the context of completely regular $T_{0}$ spaces (or in completely regular frames), so I decided to give a completely regular counterexample. | |
| Jun 11, 2021 at 20:54 | comment | added | Nate Eldredge | Maybe I'm missing something, but what about the cofinite topology on an uncountable set $X$? The only closed $G_\delta$ sets are $\emptyset$ and $X$, which are zero sets. | |
| Jun 11, 2021 at 19:53 | vote | accept | Erekle Khurodze | ||
| Jun 11, 2021 at 15:55 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Further Math Jaxed
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| Jun 11, 2021 at 14:56 | answer | added | Joseph Van Name | timeline score: 4 | |
| Jun 11, 2021 at 14:15 | history | edited | Daniele Tampieri | CC BY-SA 4.0 |
Math Jaxed a bit, formatted and further tagged
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| Jun 11, 2021 at 12:19 | history | asked | Erekle Khurodze | CC BY-SA 4.0 |