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