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