Set Theory Talks
@settheorytalks
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Aggregating Set Theory Talks worldwide so that you won't have to.
Joined March 2011
A professor emeritus turns 70. He sits by his computer and goes over his mailbox. Suddenly, he finds an email from the old days he served as a journal editor, realizing this paper is still under review. He decides to write to the referee. -->
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The Quanta article on our work on large cardinals made it to their compilation of The Year in Mathematics https://t.co/p5rlRTW3iF via @QuantaMagazine
quantamagazine.org
Explore a shape that can’t pass through itself, a teenage prodigy, and two new kinds of infinity.
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"How Platonist is Woodin" - the greatest thread in the history of set theory, scrubbed from the internet after 40 pages of heated debate,
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Hayut, Poveda: The directedness of the Rudin-Keisler order at measurable card... https://t.co/OCoq8ks6Z5
https://t.co/YESF57gcF1
arxiv.org
The manuscript is concerned with the Rudin-Keisler order of ultrafilters on measurable cardinals. The main theorem proved read as follows: Given regular cardinals $λ\leq κ$, the...
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de la Rosa, et al.: Properties of Laver forcing associated with a co-ideal express... https://t.co/lp4yISefmj
https://t.co/2aevmdYrMG
arxiv.org
We study variants of classical Laver forcing defined from co-ideals and analyze their combinatorial properties in terms of the Katětov order. In particular, we give a Katětov-theoretic...
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A conference on large cardinals, forcing, and related topics celebrating Menachem Magidor's 80 birthday. University of California, Irvine. February 7-10 2026 https://t.co/HTx7q0oTQ3
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Topology and its Applications - Special Issue in honor of Istvan Juhasz's 80th birthday https://t.co/yVcCNvs56f
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Fischer, Millhouse: Strong Projective Witnesses https://t.co/h9eVdrOUiq
https://t.co/ET9tH42374
arxiv.org
We show Shelah's original creature forcing from 1984 strongly preserves tight mad families. In particular, answering questions of Fischer and Friedman and Friedman and Zdomskyy, we show the...
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slak, et al.: Cardinal invariants of idealized Miller null sets https://t.co/d82efYwB6u
https://t.co/0I90W4uOCY
arxiv.org
This paper provides an extensive study of the $\mathscr{I}$-Miller null ideals $M_\mathscr{I}$, $σ$-ideals on the Baire space parametrized by ideals $\mathscr{I}$ on countable sets. These...
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Lambie-Hanson, Marun: Preservation of some topological properties under forcing https://t.co/S04IdCy2YF
https://t.co/zZKyFOah5N
arxiv.org
We add to the theory of preservation of topological properties under forcing. In particular, we answer a question of Gilton and Holshouser in a strong sense, showing that if player II has a...
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Patrick Lutz: A Borel graphable equivalence relation with no Borel graphing ... https://t.co/JzKuC5iFvA
https://t.co/7KXh5kobK1
arxiv.org
We answer a question of Arant, Kechris and Lutz by showing that there is a Borel graphable equivalence relation with no Borel graphing of diameter less than 3. More specifically, we prove that...
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One of the world's most remarkable mathematicians Asaf Karagila says AI models are not useful as of today: https://t.co/s4BVtL1tVD
karagila.org
I saw a few papers on arXiv recently that were very clearly prepared by asking ChatGPT or some other GenAI to analyse an idea and write a (...)
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Gappo, M\"uller: Long games just beyond fixed countable length https://t.co/j476anXIB1
https://t.co/jmESbhXJAD
arxiv.org
We introduce a new type of game on natural numbers of variable countable length, which can be regarded as a diagonalization of all games of fixed countable length on natural numbers. Building on...
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A 5-week semester on Gödel’s Program at the Institute of Mathematics of Polish Academy of Sciences May-July, 2026 https://t.co/M5xchHtR6x
sites.google.com
Gödel’s Program
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James Atchley, Lior Fishman, Stephen Jackson, Daozheng Liu, Emily Yao: Schmidt's Game and Vitali Sets https://t.co/37HEKYfmBS
https://t.co/cuNnDhgF5L
arxiv.org
While many types of non-measurable sets are never $(α, β)$-winning in the sense of Schmidt's game, we show that this is not the case for certain Vitali sets. Our main theorems show that...
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Lorenzo Notaro: Open Colorings and Baumgartner's Axiom https://t.co/1bsReJx4Ck
https://t.co/wEMYwVlAEI
arxiv.org
We construct a model of $\mathsf{MA_{\aleph_1}}+\mathsf{OCA}_T$ where Baumgartner's Axiom fails, settling a question of Farah. Moreover, in the same model there is an $\aleph_1$-dense set of reals...
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Alternative title: "Was Sierpiński right? V" https://t.co/wGjdxQLHl9
Saharon Shelah: Consistency of square bracket partition relation https://t.co/3V5rfwDoeH
https://t.co/rP7i4OU0f1
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Milo\v{s} S. Kurili\'c: Vaught's Conjecture and Theories of Partial Order Admitting a ... https://t.co/PztKIGQ98I
https://t.co/YwsfJAFmAq
arxiv.org
A complete theory ${\mathcal T}$ of partial order is an FLD$_1$-theory iff some (equivalently, any) of its models ${\mathbb X}$ admits a finite lexicographic decomposition ${\mathbb X} =\sum...
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Yinhe Peng: A ccc indestructible construction with CH https://t.co/PfKUDNF55b
https://t.co/XdyBC25Im5
arxiv.org
We introduce a variant of the Kurepa family. We then use one such family to construct a ccc indestructible property associated with a complete coherent Suslin tree $S$. Moreover, in every ccc...
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Lukas Schembecker: Isomorphism types of definable (maximal) cofinitary groups https://t.co/3uHozhG5D6
https://t.co/T76MMKCJqu
arxiv.org
Kastermans proved that consistently $\bigoplus_{\aleph_1} \mathbb{Z}_2$ has a cofinitary representation. We present a short proof that $\bigoplus_{\mathfrak{c}} \mathbb{Z}_2$ always has an...
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