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transformations Local Club Condensation. Cardinal function OCA Generalized descriptive set theory Singular Density free Souslin tree Almost countably chromatic Ramsey theory over partitions Hereditarily Lindelöf space Poset incompactness super-Souslin tree b-scale Rock n' Roll xbox Respecting tree Diamond HOD Successor of Regular Cardinal 54G20 Filter reflection Kurepa Hypothesis approachability ideal reflection principles specializable Souslin tree strongly bounded groups Distributive tree Shelah's Strong Hypothesis Countryman line Interval topology on trees Postprocessing function tensor product graph Slim tree Singular cardinals combinatorics Souslin Tree stationary reflection Entangled linear order Sigma-Prikry Coherent tree Aronszajn tree Almost-disjoint family weak diamond Uniformly coherent Mandelbrot set Sakurai's Bell inequality Diamond-sharp Strong coloring Successor of Singular Cardinal Ulam matrix Prikry-type forcing Sierpinski's onto mapping principle Ascending path Partition relations for trees Absoluteness square principles Dushnik-Miller Knaster and friends higher Baire space Analytic sets Cardinal Invariants polarized partition relation middle diamond Microscopic Approach Knaster Whitehead Problem Chang's conjecture Vanishing levels Partition Relations perfectly normal Subadditive Rainbow sets Closed coloring Large Cardinals Nonspecial tree full tree AIM forcing L-space stationary hitting Almost Souslin Antichain Fat stationary set regressive Souslin tree free Boolean algebra Prevalent singular cardinals projective Boolean algebra Constructible Universe club_AD Foundations square Hindman's Theorem Forcing Universal Sequences Was Ulam right? Reduced Power Fodor-type reflection very good scale countably metacompact Precaliber diamond star ZFC construction P-Ideal Dichotomy Uniformly homogeneous O-space Strongly Luzin set indecomposable filter Amenable C-sequence ccc Hedetniemi's conjecture Strongly compact cardinal Selective Ultrafilter weak square Axiom R Singular cofinality Lipschitz reduction Well-behaved magma Club Guessing Subtle cardinal Non-saturation PFA(S)[S] Monotonically far Chromatic number Reflecting stationary set Rado's conjecture Greatly Mahlo Weakly compact cardinal Ineffable cardinal nonmeager set Minimal Walks Small forcing PFA Martin's Axiom S-Space Erdos-Hajnal graphs Open Access Commutative cancellative semigroups Fast club sap Forcing Axioms Jonsson cardinal Luzin set Forcing with side conditions Iterated forcing positive partition relation Erdos Cardinal Commutative projection system stick Subtle tree property Diamond for trees Ostaszewski square GMA SNR Uniformization coloring number Square-Brackets Partition Relations Ascent Path Intersection model Subnormal ideal C-sequence Generalized Clubs weak Kurepa tree Parameterized proxy principle Cohen real unbounded function Dowker space
Tag Archives: Successor of Regular Cardinal
Rectangular square-bracket operation for successor of regular cardinals
Joint work with Stevo Todorcevic. Extended Abstract: Consider the coloring statement $\lambda^+\nrightarrow[\lambda^+;\lambda^+]^2_{\lambda^+}$ for a given regular cardinal $\lambda$: In 1990, Shelah proved the above for $\lambda>2^{\aleph_0}$; In 1991, Shelah proved the above for $\lambda>\aleph_1$; In 1997, Shelah proved the above … Continue reading
On guessing generalized clubs at the successors of regulars
Abstract: Konig, Larson and Yoshinobu initiated the study of principles for guessing generalized clubs, and introduced a construction of an higher Souslin tree from the strong guessing principle. Complementary to the author’s work on the validity of diamond and non-saturation … Continue reading
