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square principles stick Strongly compact cardinal Sakurai's Bell inequality Successor of Singular Cardinal club_AD Ostaszewski square reflection principles Singular cofinality countably metacompact Diamond for trees Almost-disjoint family Foundations weak Kurepa tree Martin's Axiom Rock n' Roll Erdos-Hajnal graphs Ineffable cardinal O-space strongly bounded groups square Knaster Luzin set Singular cardinals combinatorics regressive Souslin tree Distributive tree Axiom R Selective Ultrafilter super-Souslin tree Microscopic Approach Subtle cardinal Partition Relations Subtle tree property Generalized descriptive set theory SNR ccc Interval topology on trees Prevalent singular cardinals Aronszajn tree Cardinal function tensor product graph Subadditive Forcing with side conditions Whitehead Problem Large Cardinals Strongly Luzin set GMA Weakly compact cardinal Hereditarily Lindelöf space full tree PFA(S)[S] Club Guessing Fodor-type reflection Hedetniemi's conjecture incompactness Poset Ulam matrix Cohen real Ascent Path AIM forcing nonmeager set Forcing Small forcing Cardinal Invariants sap Rainbow sets Diamond Fat stationary set Non-saturation perfectly normal Souslin Tree Forcing Axioms S-Space free Souslin tree weak square weak diamond Antichain Absoluteness Vanishing levels Reflecting stationary set Ascending path 54G20 projective Boolean algebra Fast club Diamond-sharp Minimal Walks Singular Density Was Ulam right? ZFC construction HOD Local Club Condensation. Square-Brackets Partition Relations Successor of Regular Cardinal polarized partition relation very good scale Reduced Power Greatly Mahlo Amenable C-sequence Constructible Universe Filter reflection Erdos Cardinal Rado's conjecture Ramsey theory over partitions positive partition relation Countryman line Postprocessing function PFA Uniformization Chromatic number indecomposable filter stationary hitting Slim tree Coherent tree Precaliber Commutative cancellative semigroups b-scale Sigma-Prikry approachability ideal Chang's conjecture Intersection model P-Ideal Dichotomy Uniformly coherent higher Baire space Lipschitz reduction Almost countably chromatic free Boolean algebra Dushnik-Miller unbounded function Prikry-type forcing Jonsson cardinal Hindman's Theorem coloring number Dowker space C-sequence xbox stationary reflection Analytic sets Respecting tree Closed coloring diamond star Kurepa Hypothesis Sierpinski's onto mapping principle middle diamond Well-behaved magma Mandelbrot set OCA Parameterized proxy principle specializable Souslin tree L-space Generalized Clubs Nonspecial tree Subnormal ideal Open Access Monotonically far Commutative projection system Universal Sequences Knaster and friends Shelah's Strong Hypothesis Uniformly homogeneous Entangled linear order Strong coloring Almost Souslin transformations Iterated forcing
Category Archives: Contributed Talks
RIMS workshop on Set Theory 2025
I gave an online contributed talk at the RIMS workshop on Set Theory 2025 in Kyoto, December 2025. Talk Title: What is a higher forcing axiom? Abstract: There are multiple interpretations of what is a forcing axiom. We shall survey … Continue reading
Infinite Combinatorics Seminar, Haifa University, June, 2012
I gave a talk at the University of Haifa on June 07, 2012, intended for general audience. Title: Strong Colorings: the study of the failure of generalized Ramsey statements Abstract: A strong coloring from $X$ to $Y$ is a function … Continue reading
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Singular Cardinal Combinatorics and Inner Model Theory, March 2007
These are the slides of a talk given at the Singular Cardinal Combinatorics and Inner Model Theory conference (Gainesville, 5–9 March 2007). Talk Title: Antichains in partially ordered sets of singular cofinality Abstract: We say that a singular cardinal $\lambda$ is a prevalent singular … Continue reading
Logic in Hungary, August 2005
These are the slides of a contributed talk given at the Logic in Hungary 2005 meeting (Budapest, 5–11 August 2005). Talk Title: On the consistency strength of the Milner-Sauer Conjecture Abstract: In their paper from 1981, after learning about Pouzet‘s theorem that any … Continue reading
Posted in Contributed Talks
Tagged Antichain, Shelah's Strong Hypothesis, Singular cofinality
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