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Diamond-sharp Forcing Axioms Fast club countably metacompact projective Boolean algebra square Shelah's Strong Hypothesis Vanishing levels Almost countably chromatic Singular Density Axiom R Analytic sets Strong coloring Whitehead Problem Postprocessing function Small forcing Interval topology on trees Square-Brackets Partition Relations higher Baire space GMA Non-saturation Rainbow sets Subnormal ideal Well-behaved magma Monotonically far middle diamond Sierpinski's onto mapping principle Respecting tree stationary reflection Singular cardinals combinatorics Filter reflection Was Ulam right? Absoluteness Rado's conjecture Ulam matrix stick Reflecting stationary set approachability ideal Reduced Power Martin's Axiom weak square Partition Relations Rock n' Roll Kurepa Hypothesis Fodor-type reflection weak Kurepa tree Forcing Luzin set Universal Sequences OCA diamond star Local Club Condensation. Ramsey theory over partitions C-sequence P-Ideal Dichotomy Closed coloring Intersection model Prevalent singular cardinals club_AD Countryman line Uniformly homogeneous free Boolean algebra Hindman's Theorem Uniformization Precaliber Commutative cancellative semigroups Selective Ultrafilter super-Souslin tree Successor of Regular Cardinal Subadditive Knaster and friends Nonspecial tree Forcing with side conditions PFA(S)[S] Erdos-Hajnal graphs free Souslin tree Cardinal Invariants Distributive tree Aronszajn tree full tree Ascending path Entangled linear order Iterated forcing very good scale Generalized descriptive set theory Poset Diamond for trees specializable Souslin tree indecomposable filter 54G20 Hereditarily Lindelöf space Ascent Path Partition relations for trees square principles Microscopic Approach tensor product graph Strongly compact cardinal incompactness Open Access unbounded function Amenable C-sequence Sakurai's Bell inequality Foundations reflection principles Cohen real Fat stationary set strongly bounded groups stationary hitting Knaster Chang's conjecture S-Space nonmeager set weak diamond Strongly Luzin set Ostaszewski square Erdos Cardinal perfectly normal Almost Souslin O-space Sigma-Prikry Ineffable cardinal Cardinal function Dushnik-Miller AIM forcing Hedetniemi's conjecture xbox Souslin Tree Subtle cardinal Large Cardinals HOD ccc Diamond Dowker space Chromatic number transformations polarized partition relation b-scale L-space PFA Lipschitz reduction Antichain Coherent tree Weakly compact cardinal Singular cofinality Constructible Universe Minimal Walks coloring number sap Greatly Mahlo Successor of Singular Cardinal regressive Souslin tree Mandelbrot set positive partition relation Parameterized proxy principle Subtle tree property Slim tree Commutative projection system Club Guessing Generalized Clubs Uniformly coherent SNR ZFC construction Almost-disjoint family Prikry-type forcing Jonsson cardinal
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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