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