Timeline for Open cover not containing a certain subcover
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 1, 2015 at 11:19 | vote | accept | Dominic van der Zypen | ||
| Oct 1, 2015 at 10:17 | answer | added | Taras Banakh | timeline score: 1 | |
| Oct 1, 2015 at 9:55 | comment | added | Jason Starr | You are right. Countably infinite spaces do not work. | |
| Oct 1, 2015 at 9:45 | comment | added | Jeremy Rickard | @JasonStarr For a discrete countably infinite set you could take a subcover consisting of a nested sequence $U_0\subset U_1\subset\dots$ of finite sets. | |
| Oct 1, 2015 at 9:38 | comment | added | Jason Starr | @JeremyRickard: Actually, I think your example works for countably infinite spaces as well. | |
| Oct 1, 2015 at 9:16 | comment | added | Jeremy Rickard | How about an uncountable discrete space, with the open cover consisting of all finite subsets? | |
| Oct 1, 2015 at 8:59 | history | asked | Dominic van der Zypen | CC BY-SA 3.0 |