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