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diamond star Generalized Clubs weak Kurepa tree Prevalent singular cardinals Amenable C-sequence Well-behaved magma Fast club PFA P-Ideal Dichotomy Diamond Absoluteness approachability ideal nonmeager set Was Ulam right? Poset Diamond-sharp Sakurai's Bell inequality middle diamond unbounded function Ostaszewski square Uniformly coherent Sierpinski's onto mapping principle Uniformly homogeneous Distributive tree Club Guessing Mandelbrot set Strong coloring Analytic sets Strongly Luzin set Greatly Mahlo Luzin set S-Space OCA Whitehead Problem Successor of Regular Cardinal Diamond for trees Erdos-Hajnal graphs Small forcing Filter reflection 54G20 Commutative projection system Large Cardinals Shelah's Strong Hypothesis strongly bounded groups polarized partition relation Rado's conjecture Almost countably chromatic HOD Reduced Power Ulam matrix Antichain O-space Fodor-type reflection positive partition relation Ineffable cardinal Successor of Singular Cardinal Iterated forcing countably metacompact Reflecting stationary set Coherent tree Generalized descriptive set theory Chang's conjecture free Boolean algebra Prikry-type forcing weak square Ascent Path Uniformization Ramsey theory over partitions Parameterized proxy principle Erdos Cardinal Local Club Condensation. incompactness Constructible Universe Rock n' Roll Sigma-Prikry Hindman's Theorem square very good scale Fat stationary set stick Open Access Rainbow sets super-Souslin tree Subadditive Dowker space Weakly compact cardinal Almost Souslin Cardinal function tensor product graph Subnormal ideal Respecting tree Cardinal Invariants Kurepa Hypothesis SNR projective Boolean algebra ccc L-space stationary hitting Cohen real xbox Singular cofinality Forcing Axioms sap Subtle cardinal Minimal Walks Universal Sequences club_AD Almost-disjoint family Closed coloring Knaster Martin's Axiom Chromatic number Commutative cancellative semigroups Square-Brackets Partition Relations ZFC construction Strongly compact cardinal Intersection model Partition Relations Precaliber indecomposable ultrafilter regressive Souslin tree Aronszajn tree Hereditarily Lindelöf space Forcing Selective Ultrafilter PFA(S)[S] Countryman line Vanishing levels Dushnik-Miller specializable Souslin tree b-scale Knaster and friends Lipschitz reduction Hedetniemi's conjecture stationary reflection Axiom R free Souslin tree reflection principles full tree C-sequence higher Baire space Postprocessing function GMA Jonsson cardinal Nonspecial tree Non-saturation Singular Density AIM forcing weak diamond Souslin Tree square principles Subtle tree property coloring number Foundations Slim tree transformations Singular cardinals combinatorics Microscopic Approach
Tag Archives: Club Guessing
Jensen’s diamond principle and its relatives
This is chapter 6 in the book Set Theory and Its Applications (ISBN: 0821848127). Abstract: We survey some recent results on the validity of Jensen’s diamond principle at successor cardinals. We also discuss weakening of this principle such as club … 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
Transforming rectangles into squares, with applications to strong colorings
Abstract: It is proved that every singular cardinal
The Ostaszewski square, and homogeneous Souslin trees
Abstract: Assume GCH and let
Posted in Publications, Souslin Hypothesis, Squares and Diamonds
Tagged 03E05, 03E35, Club Guessing, Fat stationary set, Ostaszewski square, Souslin Tree
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