Timeline for Thick refinements of covers
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| May 25, 2018 at 20:36 | comment | added | Ramiro de la Vega | By the way, $\omega_1$ is not meta-Lindelof either (I believe for ordinals, meta-Lindelof and metacompact coincide). So the theorem cannot be pushed up even changing "finitely many" by "countably many". | |
| May 25, 2018 at 19:53 | comment | added | Ramiro de la Vega | Spaces satisfying the conclusion of your theorem are called metacompact. The ordinal $\omega_1$ is not metacompact since countably compact metacompact spaces are compact. | |
| May 25, 2018 at 17:09 | comment | added | Joel David Hamkins | I guess this argument uses only $T_1$ and not fully Hausdorff. | |
| May 25, 2018 at 16:30 | comment | added | Dominic van der Zypen | Thanks Joel for this partial answer! I was thinking about how to carry on the induction to larger cardinals, but it seems like one would get a "predecessor problem" (in your argument, you have only finitely many $k<n$). | |
| May 25, 2018 at 16:18 | history | undeleted | Joel David Hamkins | ||
| May 25, 2018 at 16:18 | history | edited | Joel David Hamkins | CC BY-SA 4.0 |
deleted 142 characters in body
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| May 25, 2018 at 16:07 | history | deleted | Joel David Hamkins | via Vote | |
| May 25, 2018 at 16:04 | history | answered | Joel David Hamkins | CC BY-SA 4.0 |