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Erdos Cardinal Greatly Mahlo SNR Fodor-type reflection Square-Brackets Partition Relations Almost Souslin Filter reflection stationary reflection Ineffable cardinal Uniformization full tree Sigma-Prikry Souslin Tree ccc Chromatic number Successor of Singular Cardinal tensor product graph Subnormal ideal Uniformly coherent Postprocessing function higher Baire space Absoluteness Uniformly homogeneous xbox Vanishing levels Reduced Power PFA Iterated forcing coloring number strongly bounded groups Weakly compact cardinal Hereditarily Lindelöf space Hedetniemi's conjecture PFA(S)[S] b-scale L-space Non-saturation Fast club 54G20 Amenable C-sequence Generalized Clubs reflection principles Cardinal function Ascent Path weak Kurepa tree Shelah's Strong Hypothesis Microscopic Approach Axiom R Universal Sequences very good scale Strong coloring Minimal Walks Local Club Condensation. Coherent tree diamond star super-Souslin tree positive partition relation sap Closed coloring Ostaszewski square Cohen real Nonspecial tree Generalized descriptive set theory Kurepa Hypothesis club_AD indecomposable ultrafilter Club Guessing nonmeager set stationary hitting middle diamond Almost countably chromatic Selective Ultrafilter Rado's conjecture incompactness HOD Open Access Dushnik-Miller ZFC construction Strongly Luzin set Commutative cancellative semigroups Successor of Regular Cardinal Erdos-Hajnal graphs Intersection model Aronszajn tree countably metacompact free Souslin tree Luzin set square stick Small forcing Sakurai's Bell inequality Strongly compact cardinal Forcing Axioms Prevalent singular cardinals Mandelbrot set approachability ideal unbounded function P-Ideal Dichotomy square principles Constructible Universe OCA Reflecting stationary set Large Cardinals Dowker space weak square O-space polarized partition relation Distributive tree Sierpinski's onto mapping principle Whitehead Problem Precaliber Partition Relations Forcing Subtle cardinal Foundations Antichain Singular cofinality Almost-disjoint family Cardinal Invariants Knaster Commutative projection system Analytic sets Poset Martin's Axiom Chang's conjecture C-sequence regressive Souslin tree specializable Souslin tree Ramsey theory over partitions Diamond for trees Knaster and friends Diamond GMA Parameterized proxy principle free Boolean algebra S-Space Respecting tree Prikry-type forcing transformations weak diamond Singular Density Lipschitz reduction Fat stationary set AIM forcing Subtle tree property Rock n' Roll Diamond-sharp Jonsson cardinal Ulam matrix Hindman's Theorem Well-behaved magma Slim tree Was Ulam right? Singular cardinals combinatorics Subadditive Countryman line Rainbow sets projective Boolean algebra
Tag Archives: Commutative projection system
Ketonen’s question and other cardinal sins
Joint work with Zhixing You and Jiachen Yuan. Abstract. Intersection models of generic extensions obtained from a commutative projection systems of notions of forcing has recently regained interest, especially in the study of descriptive set theory. Here, we show that … Continue reading
Posted in Compactness, Preprints
Tagged 03E05, 03E35, 03E55, Ascent Path, C-sequence, Commutative projection system, indecomposable ultrafilter, Intersection model, Strongly compact cardinal
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