Timeline for A rare property of Hausdorff spaces
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 16, 2016 at 19:15 | comment | added | Joseph Van Name | For the record, the completely regular spaces $X$ where every function $f:X\rightarrow \mathbb{R}$ are locally constant are known as $P$-spaces. Equivalently, a $P$-space is a regular space where the countable intersection of open sets is open. | |
| Aug 9, 2016 at 16:56 | vote | accept | Mark | ||
| Aug 9, 2016 at 12:55 | comment | added | Joel David Hamkins | One could argue similarly with the surreal line (or the surreal line at some birthday of uncountable cofinality, to make it a set), which also has the property that every continuous function to the reals is locally constant, for essentially similar reasons. | |
| Aug 9, 2016 at 12:32 | history | edited | Joel David Hamkins | CC BY-SA 3.0 |
added 600 characters in body
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| Aug 9, 2016 at 12:10 | history | answered | Joel David Hamkins | CC BY-SA 3.0 |