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