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