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