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