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