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