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Sakurai's Bell inequality Successor of Regular Cardinal SNR Absoluteness Subnormal ideal Hereditarily Lindelöf space O-space Closed coloring Uniformization Prikry-type forcing Weakly compact cardinal Singular Density weak diamond Sigma-Prikry Shelah's Strong Hypothesis Cardinal Invariants transformations positive partition relation b-scale Amenable C-sequence Ascent Path Generalized descriptive set theory Foundations Rado's conjecture middle diamond Filter reflection xbox stationary hitting GMA regressive Souslin tree Subtle tree property Ineffable cardinal Iterated forcing Axiom R Almost-disjoint family Fodor-type reflection unbounded function Coherent tree Selective Ultrafilter weak Kurepa tree square principles Antichain Constructible Universe Aronszajn tree OCA Whitehead Problem approachability ideal Universal Sequences Parameterized proxy principle Uniformly coherent specializable Souslin tree Reflecting stationary set Local Club Condensation. Dushnik-Miller Uniformly homogeneous coloring number Ostaszewski square stick P-Ideal Dichotomy Almost countably chromatic Diamond-sharp Was Ulam right free Souslin tree Mandelbrot set Ramsey theory over partitions very good scale Generalized Clubs Subadditive square Lipschitz reduction Reduced Power Almost Souslin Luzin set Precaliber PFA projective Boolean algebra Diamond for trees Diamond AIM forcing Strong coloring super-Souslin tree Cardinal function Chang's conjecture Subtle cardinal Jonsson cardinal sap Singular cofinality Open Access Microscopic Approach S-Space nonmeager set Kurepa Hypothesis club_AD Nonspecial tree Fast club indecomposable ultrafilter L-space Hindman's Theorem free Boolean algebra Rock n' Roll Knaster and friends HOD Cohen real Martin's Axiom ZFC construction Rainbow sets stationary reflection Erdos-Hajnal graphs Forcing Axioms Small forcing Knaster Dowker space Slim tree Strongly Luzin set Chromatic number tensor product graph PFA(S)[S] Successor of Singular Cardinal Poset Commutative cancellative semigroups Sierpinski's onto mapping principle Prevalent singular cardinals Well-behaved magma Erdos Cardinal Vanishing levels Forcing Ulam matrix Large Cardinals Square-Brackets Partition Relations incompactness weak square Greatly Mahlo strongly bounded groups ccc 54G20 Souslin Tree countably metacompact Club Guessing diamond star Minimal Walks higher Baire space Fat stationary set Postprocessing function Hedetniemi's conjecture Singular cardinals combinatorics C-sequence Analytic sets Distributive tree reflection principles Partition Relations polarized partition relation full tree Non-saturation
Tag Archives: Precaliber
The 15th International Workshop on Set Theory in Luminy, September 2019
I gave an invited talk at the 15th International Workshop on Set Theory in Luminy in Marseille, September 2019. Talk Title: Chain conditions, unbounded colorings and the C-sequence spectrum. Abstract: The productivity of the $\kappa$-chain condition, where $\kappa$ is a regular, … Continue reading
Posted in Invited Talks
Tagged Closed coloring, Knaster, Precaliber, stationary reflection, unbounded function
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Knaster and friends I: Closed colorings and precalibers
Joint work with Chris Lambie-Hanson. Abstract. The productivity of the $\kappa$-chain condition, where $\kappa$ is a regular, uncountable cardinal, has been the focus of a great deal of set-theoretic research. In the 1970s, consistent examples of $\kappa$-cc posets whose squares … Continue reading