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Diamond Closed coloring Ostaszewski square Local Club Condensation. xbox club_AD stationary reflection Reduced Power square principles HOD Lipschitz reduction Selective Ultrafilter Sakurai's Bell inequality Erdos Cardinal O-space polarized partition relation Minimal Walks Diamond-sharp Partition Relations Commutative projection system Precaliber Distributive tree Intersection model Prikry-type forcing Vanishing levels Strongly compact cardinal middle diamond weak square SNR Cardinal function Whitehead Problem Dushnik-Miller Prevalent singular cardinals Universal Sequences higher Baire space positive partition relation Iterated forcing transformations Strong coloring regressive Souslin tree Ulam matrix Almost-disjoint family ZFC construction Luzin set nonmeager set 54G20 Foundations Poset stick Filter reflection Countryman line Sigma-Prikry Respecting tree Entangled linear order Rainbow sets approachability ideal Postprocessing function Cohen real coloring number Generalized descriptive set theory reflection principles Ramsey theory over partitions AIM forcing Erdos-Hajnal graphs PFA Non-saturation super-Souslin tree Knaster and friends Uniformly homogeneous Slim tree Almost countably chromatic Amenable C-sequence Rock n' Roll Coherent tree Successor of Singular Cardinal unbounded function Club Guessing Nonspecial tree Strongly Luzin set Was Ulam right? Hedetniemi's conjecture P-Ideal Dichotomy Interval topology on trees GMA Absoluteness Monotonically far sap Greatly Mahlo Microscopic Approach Forcing Axioms perfectly normal free Boolean algebra Fat stationary set Sierpinski's onto mapping principle Mandelbrot set PFA(S)[S] Subnormal ideal Small forcing projective Boolean algebra incompactness Ineffable cardinal Hereditarily Lindelöf space Souslin Tree Weakly compact cardinal Ascent Path Analytic sets Commutative cancellative semigroups Singular cardinals combinatorics Fodor-type reflection Singular Density Fast club Large Cardinals countably metacompact Forcing with side conditions weak Kurepa tree Chromatic number Open Access Uniformization Subtle tree property full tree Diamond for trees Hindman's Theorem Rado's conjecture Constructible Universe Subtle cardinal L-space diamond star Successor of Regular Cardinal Square-Brackets Partition Relations Cardinal Invariants Ascending path Parameterized proxy principle ccc very good scale S-Space Martin's Axiom C-sequence Generalized Clubs Aronszajn tree OCA Reflecting stationary set Well-behaved magma indecomposable filter Shelah's Strong Hypothesis b-scale Partition relations for trees Knaster Dowker space strongly bounded groups specializable Souslin tree Singular cofinality Axiom R Subadditive weak diamond tensor product graph Almost Souslin Kurepa Hypothesis free Souslin tree Antichain Forcing Uniformly coherent square Chang's conjecture stationary hitting Jonsson cardinal
Tag Archives: Strongly compact cardinal
Ketonen’s question and other cardinal sins
Joint work with Zhixing You and Jiachen Yuan. Abstract. Answering a question of Ketonen from the late 1970’s, it is proved that a weakly compact cardinal carrying an indecomposable ultrafilter need not be measurable. The result is obtained by analyzing … Continue reading
