Timeline for References for higher descriptive set theory surveys
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jan 9, 2017 at 17:00 | vote | accept | Boaz Tsaban | ||
| Apr 1, 2016 at 18:41 | comment | added | Geoff Galgon | If by the Cantor-Bendixon theorem you mean the fact that every closed subspace of $2^{\omega}$ can be partitioned into the union of a countable scattered part and a (if non-empty) continuum sized perfect part, this was generalized to the $2^{\omega_1}$ context (the $\omega_1$-box topology) by Väänänen (``A Cantor-Bendixon Theorem for the Space $\omega_1^{\omega_1}$", Fundamenta Mathematicae 1991). He uses a measurable cardinal for his consistency, but in fact you can get the consistency of the same result, and for any other particular regular uncountable $\kappa$, from just an inaccessible. | |
| Apr 1, 2016 at 11:47 | answer | added | Mohammad Golshani | timeline score: 6 | |
| Mar 31, 2016 at 20:08 | comment | added | Boaz Tsaban | @PaulMcKenney: Thanks, this is useful! It would be very useful if someone could locate, in addition, a survey or at least a wide scope paper dealing with higher combinatorial cardinals of the (higher) continuum, such as $\mathfrak{b}_\kappa$ and $\mathfrak{d}_\kappa$. Also, a survey of more "classical" descriptive set theory ( a "higher Kechris book", so to speak) for the higher continuum is much in need. | |
| Mar 31, 2016 at 19:34 | comment | added | Paul McKenney | I remember Sy Friedman talking about descriptive-set-theoretic results for $2^\kappa$ and $\kappa^\kappa$ at the Young Set Theory meeting in 2013. This seems to be the kind of thing you're looking for. You can find slides here, and a paper here. I haven't gone through either of these very thoroughly, though. | |
| S Mar 31, 2016 at 14:39 | history | suggested | CommunityBot |
Added a tag.
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| Mar 31, 2016 at 14:15 | review | Suggested edits | |||
| S Mar 31, 2016 at 14:39 | |||||
| Mar 31, 2016 at 11:48 | history | asked | Boaz Tsaban | CC BY-SA 3.0 |