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