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Uniformly homogeneous Sierpinski's onto mapping principle AIM forcing stick Partition Relations SNR weak diamond Subadditive Coherent tree Martin's Axiom Subnormal ideal incompactness Ascent Path Successor of Regular Cardinal Greatly Mahlo O-space Respecting tree Absoluteness P-Ideal Dichotomy Rock n' Roll Chang's conjecture Singular cardinals combinatorics PFA GMA Fodor-type reflection stationary hitting Open Access square Postprocessing function Minimal Walks Strongly compact cardinal Weakly compact cardinal strongly bounded groups Universal Sequences Square-Brackets Partition Relations Axiom R Aronszajn tree Constructible Universe unbounded function Slim tree very good scale Forcing Dowker space positive partition relation Diamond for trees Reduced Power OCA Almost countably chromatic Intersection model Ulam matrix projective Boolean algebra Analytic sets HOD Uniformly coherent Closed coloring diamond star Sigma-Prikry indecomposable ultrafilter Mandelbrot set sap Diamond Strong coloring Commutative cancellative semigroups weak Kurepa tree Uniformization Microscopic Approach Erdos-Hajnal graphs Whitehead Problem Poset Amenable C-sequence Ramsey theory over partitions polarized partition relation Large Cardinals approachability ideal Fat stationary set Luzin set Singular cofinality club_AD free Boolean algebra Sakurai's Bell inequality Well-behaved magma Dushnik-Miller Knaster and friends Antichain Parameterized proxy principle Lipschitz reduction Local Club Condensation. higher Baire space Hedetniemi's conjecture Nonspecial tree ZFC construction Cardinal Invariants tensor product graph Cardinal function Non-saturation Singular Density xbox Souslin Tree Small forcing Vanishing levels Almost-disjoint family full tree Rainbow sets specializable Souslin tree Commutative projection system Was Ulam right? Strongly Luzin set Subtle tree property Filter reflection transformations weak square L-space Generalized Clubs Prikry-type forcing PFA(S)[S] Prevalent singular cardinals Forcing Axioms Kurepa Hypothesis Ineffable cardinal Subtle cardinal reflection principles middle diamond Chromatic number Reflecting stationary set super-Souslin tree Ostaszewski square Fast club Almost Souslin Erdos Cardinal Selective Ultrafilter Hindman's Theorem 54G20 Diamond-sharp regressive Souslin tree square principles Jonsson cardinal Precaliber countably metacompact b-scale S-Space Generalized descriptive set theory Foundations coloring number Hereditarily Lindelöf space Iterated forcing Successor of Singular Cardinal Countryman line ccc nonmeager set Shelah's Strong Hypothesis Knaster Distributive tree Club Guessing Cohen real C-sequence Rado's conjecture stationary reflection free Souslin tree
Tag Archives: 06E10
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
