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