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