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