Timeline for Extension of Baire's Theorem
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Nov 17, 2019 at 21:01 | history | became hot network question | |||
| Nov 17, 2019 at 19:50 | vote | accept | ABIM | ||
| Nov 17, 2019 at 19:28 | answer | added | Taras Banakh | timeline score: 12 | |
| Nov 17, 2019 at 17:01 | comment | added | Dave L Renfro | Related: Is there a suitably generalized Baire property for topological spaces of arbitrary cardinalities? I've come across several papers on this theme, but unfortunately this is not something I've ever paid attention to and thus I don't have any specific references written down anywhere. The papers I'm thinking of were mostly written independently of each other and were widely scattered in the mathematical literature. For example, I think some might have been short notes in Doklady Akademii Nauk from the 1960s and/or 1970s. | |
| Nov 17, 2019 at 13:59 | comment | added | Martin Sleziak | I vaguely recall stronger version of BCT under Martin's axiom. You can try to search for strong Baire category theorem. (I hope somebody else will be able to say a bit more about this.) | |
| Nov 17, 2019 at 13:07 | comment | added | ABIM | I would need $X$ to be metric and $\kappa\geq \aleph_0$. (So in particular $X$ is a Baire space, in the classical sense but it $\kappa>\aleph_0$ then it would be non-separable). | |
| Nov 17, 2019 at 13:06 | history | edited | ABIM | CC BY-SA 4.0 |
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| Nov 17, 2019 at 12:59 | comment | added | bof | It's false for $\kappa=\aleph_0$, isn't it? Because not every separable topological space is a Baire space? Are you assuming $\kappa\gt\aleph_0$? | |
| Nov 17, 2019 at 12:58 | history | edited | ABIM | CC BY-SA 4.0 |
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| Nov 17, 2019 at 12:48 | history | asked | ABIM | CC BY-SA 4.0 |