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