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