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Vanishing levels Almost-disjoint family Dowker space HOD C-sequence Sakurai's Bell inequality Sigma-Prikry Strong coloring Rado's conjecture Singular cofinality Sierpinski's onto mapping principle sap Amenable C-sequence Erdos Cardinal Lipschitz reduction Generalized Clubs square principles GMA club_AD Iterated forcing higher Baire space Constructible Universe Fast club SNR Successor of Regular Cardinal Commutative projection system Uniformization Subtle tree property Diamond Absoluteness Weakly compact cardinal L-space ccc Was Ulam right? diamond star Martin's Axiom approachability ideal positive partition relation Jonsson cardinal Prevalent singular cardinals Selective Ultrafilter Non-saturation Slim tree Prikry-type forcing Parameterized proxy principle transformations PFA(S)[S] Antichain Greatly Mahlo b-scale S-Space Generalized descriptive set theory Commutative cancellative semigroups Countryman line Precaliber AIM forcing Open Access Cardinal function specializable Souslin tree countably metacompact Diamond-sharp Ostaszewski square Square-Brackets Partition Relations Reflecting stationary set Rock n' Roll Poset Mandelbrot set Ramsey theory over partitions Kurepa Hypothesis stick coloring number full tree Club Guessing nonmeager set Distributive tree Postprocessing function Cardinal Invariants ZFC construction reflection principles Hereditarily Lindelöf space Reduced Power Strongly Luzin set middle diamond weak square Large Cardinals Almost Souslin Ulam matrix Partition Relations Nonspecial tree Diamond for trees projective Boolean algebra Microscopic Approach Ascent Path indecomposable filter Singular cardinals combinatorics O-space Luzin set Fat stationary set regressive Souslin tree weak diamond Subtle cardinal Successor of Singular Cardinal Uniformly coherent 54G20 tensor product graph xbox Axiom R stationary reflection Knaster Respecting tree P-Ideal Dichotomy Whitehead Problem Subadditive weak Kurepa tree Erdos-Hajnal graphs Filter reflection Minimal Walks Local Club Condensation. free Boolean algebra Small forcing Uniformly homogeneous Coherent tree stationary hitting PFA Knaster and friends Chromatic number Almost countably chromatic Foundations OCA Hedetniemi's conjecture Universal Sequences very good scale Rainbow sets Forcing square Cohen real Well-behaved magma Strongly compact cardinal Closed coloring Shelah's Strong Hypothesis strongly bounded groups Hindman's Theorem Chang's conjecture Forcing Axioms Dushnik-Miller Analytic sets Ineffable cardinal free Souslin tree Singular Density polarized partition relation Intersection model super-Souslin tree Souslin Tree Subnormal ideal Aronszajn tree unbounded function Fodor-type reflection incompactness
Tag Archives: Souslin Tree
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
Young Researchers in Set Theory, March 2011
These are the slides of a talk I gave at the Young Researchers in Set Theory 2011 meeting (Königswinter, 21–25 March 2011). Talk Title: Around Jensen’s square principle Abstract: Jensen‘s square principle for a cardinal
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
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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