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