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