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