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