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