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