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