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