Timeline for LCH spaces $X$ such that if $Y$ is a perfect image of $X$, then $Y$ is zero-dimensional
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 9 at 19:09 | vote | accept | Jakobian | ||
| Nov 9 at 15:26 | answer | added | KP Hart | timeline score: 3 | |
| Nov 9 at 3:16 | history | edited | Jakobian | CC BY-SA 4.0 |
added 161 characters in body
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| Nov 9 at 1:36 | comment | added | Anonymous | Here are two simple comments. First, in the case that $|X| < \frak{c}$, it is not even necessary that $f$ be continuous, as long as it is a surjection. Second, a compact space has this property if and only if it is scattered (because a non-scattered compact space admits a continuous map onto $[0,1]$ and a compact scattered space, or even a Lindel\"{o}f scattered space, is functionally countable). | |
| Nov 8 at 19:00 | history | asked | Jakobian | CC BY-SA 4.0 |