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