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