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