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ZFC construction Coherent tree Uniformization Aronszajn tree Weakly compact cardinal Sierpinski's onto mapping principle Reduced Power square Absoluteness Almost countably chromatic Rado's conjecture tensor product graph Slim tree P-Ideal Dichotomy Jonsson cardinal Uniformly coherent full tree Subadditive Ramsey theory over partitions Almost-disjoint family Almost Souslin Ulam matrix HOD very good scale Kurepa Hypothesis super-Souslin tree Diamond-sharp S-Space Strongly Luzin set Uniformly homogeneous Antichain Forcing Souslin Tree Chromatic number Axiom R Fat stationary set nonmeager set Universal Sequences Greatly Mahlo Subtle cardinal xbox weak Kurepa tree Ascent Path Non-saturation club_AD middle diamond transformations Partition Relations higher Baire space positive partition relation L-space weak square Singular cofinality Ineffable cardinal polarized partition relation Successor of Regular Cardinal Martin's Axiom Commutative cancellative semigroups Subtle tree property Fast club Shelah's Strong Hypothesis approachability ideal Strong coloring Dushnik-Miller Selective Ultrafilter 54G20 stick AIM forcing C-sequence Singular cardinals combinatorics incompactness PFA Luzin set Rock n' Roll PFA(S)[S] O-space Amenable C-sequence Microscopic Approach Forcing Axioms b-scale Cardinal Invariants Open Access Small forcing ccc Foundations Cardinal function Square-Brackets Partition Relations Vanishing levels Knaster square principles Dowker space weak diamond free Boolean algebra Local Club Condensation. Sakurai's Bell inequality Parameterized proxy principle Precaliber Sigma-Prikry Mandelbrot set Diamond Iterated forcing Ostaszewski square Singular Density OCA Lipschitz reduction Poset strongly bounded groups Distributive tree Minimal Walks Successor of Singular Cardinal projective Boolean algebra unbounded function Chang's conjecture sap Was Ulam right Well-behaved magma Constructible Universe indecomposable ultrafilter Generalized descriptive set theory stationary reflection Cohen real Club Guessing Hedetniemi's conjecture Reflecting stationary set coloring number countably metacompact Generalized Clubs Prikry-type forcing Erdos Cardinal free Souslin tree Nonspecial tree Filter reflection Prevalent singular cardinals specializable Souslin tree Knaster and friends Hindman's Theorem SNR Whitehead Problem Closed coloring Erdos-Hajnal graphs Hereditarily Lindelöf space diamond star Fodor-type reflection reflection principles regressive Souslin tree Rainbow sets stationary hitting Analytic sets Diamond for trees Postprocessing function Subnormal ideal Large Cardinals GMA
Tag Archives: Luzin set
A new small Dowker space
Joint work with Roy Shalev and Stevo Todorcevic. Abstract. It is proved that if there exists a Luzin set, or if either the stick principle or $\diamondsuit(\mathfrak b)$ hold, then an instance of the guessing principle $\clubsuit_{AD}$ holds at the … Continue reading
Ramsey theory over partitions III: Strongly Luzin sets and partition relations
Joint work with Menachem Kojman and Juris Steprāns. Abstract. The strongest type of coloring of pairs of countable ordinals, gotten by Todorcevic from a strongly Luzin set, is shown to be equivalent to the existence of a nonmeager set of … Continue reading
6th European Set Theory Conference, July 2017
I gave a 3-lecture tutorial at the 6th European Set Theory Conference in Budapest, July 2017. Title: Strong colorings and their applications. Abstract. Consider the following questions. Is the product of two $\kappa$-cc partial orders again $\kappa$-cc? Does there exist … Continue reading
Posted in Invited Talks, Open Problems
Tagged b-scale, Cohen real, Luzin set, Minimal Walks, Souslin Tree, Square-Brackets Partition Relations
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