Timeline for closed subset of weakly lindelof
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 22, 2012 at 8:08 | comment | added | KP Hart | It can, spaces in which this happens are called H-closed: en.wikipedia.org/wiki/H-closed_space | |
| Apr 21, 2012 at 20:04 | comment | added | Douglas Somerset | Many thanks. Tick to the first answer (by a minute). Looking at the (non-Hausdorff) examples which motivated this question, I now see that one of them has a non-weakly-Lindelof closed set whose complement is a dense open compact set. Thus the whole space is weakly Lindelof. In fact it has the stronger property that every open cover has a finite subfamily with dense union. Presumably this stronger property cannot occur in a non-compact Hausdorff space? | |
| Apr 21, 2012 at 19:56 | vote | accept | Douglas Somerset | ||
| Apr 21, 2012 at 18:18 | history | answered | KP Hart | CC BY-SA 3.0 |