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