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