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