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