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Almost-disjoint family Shelah's Strong Hypothesis specializable Souslin tree Reduced Power Forcing Axioms tensor product graph Subtle tree property Analytic sets Martin's Axiom Chromatic number Parameterized proxy principle Partition Relations Successor of Regular Cardinal Universal Sequences Luzin set weak diamond club_AD Mandelbrot set xbox approachability ideal Prikry-type forcing Almost countably chromatic Ineffable cardinal incompactness square Rainbow sets Local Club Condensation. Knaster Strong coloring C-sequence Closed coloring strongly bounded groups very good scale Foundations diamond star Commutative projection system higher Baire space Fodor-type reflection Subnormal ideal weak square SNR Distributive tree Absoluteness Chang's conjecture Generalized Clubs Rado's conjecture unbounded function Ostaszewski square Vanishing levels Amenable C-sequence P-Ideal Dichotomy Constructible Universe Large Cardinals positive partition relation stationary hitting coloring number Forcing Knaster and friends S-Space Dushnik-Miller indecomposable ultrafilter Commutative cancellative semigroups GMA Weakly compact cardinal Nonspecial tree Hedetniemi's conjecture Erdos-Hajnal graphs regressive Souslin tree Kurepa Hypothesis weak Kurepa tree full tree Reflecting stationary set Greatly Mahlo Almost Souslin Jonsson cardinal Singular Density AIM forcing Ramsey theory over partitions L-space Rock n' Roll Club Guessing Uniformization Microscopic Approach Filter reflection transformations Iterated forcing Aronszajn tree Subtle cardinal nonmeager set Successor of Singular Cardinal Antichain Singular cardinals combinatorics Square-Brackets Partition Relations Strongly compact cardinal square principles middle diamond Subadditive Small forcing polarized partition relation Cardinal function Poset Singular cofinality Sakurai's Bell inequality O-space Diamond Selective Ultrafilter reflection principles countably metacompact Hindman's Theorem PFA(S)[S] HOD Axiom R Non-saturation Sierpinski's onto mapping principle Coherent tree Sigma-Prikry free Boolean algebra Uniformly coherent Ulam matrix Generalized descriptive set theory Was Ulam right? Uniformly homogeneous Countryman line PFA Cohen real Diamond for trees Strongly Luzin set b-scale Fat stationary set Intersection model Cardinal Invariants Open Access stationary reflection Respecting tree Diamond-sharp stick Lipschitz reduction Prevalent singular cardinals 54G20 Ascent Path Whitehead Problem free Souslin tree Well-behaved magma Dowker space Minimal Walks Hereditarily Lindelöf space ccc projective Boolean algebra OCA super-Souslin tree Fast club Postprocessing function ZFC construction sap Slim tree Souslin Tree Erdos Cardinal Precaliber
Category Archives: Souslin Hypothesis
Higher Souslin trees and the GCH, revisited
Abstract. It is proved that for every uncountable cardinal
Posted in Publications, Souslin Hypothesis
Tagged 03E05, 03E35, Open Access, regressive Souslin tree, Souslin Tree, square, Weakly compact cardinal, xbox
16 Comments
A microscopic approach to Souslin-tree constructions. Part I
Joint work with Ari Meir Brodsky. Abstract. We propose a parameterized proxy principle from which
Posted in Publications, Souslin Hypothesis
Tagged 03E05, 03E35, 03E65, 05C05, Coherent tree, Diamond, Microscopic Approach, Parameterized proxy principle, Slim tree, Souslin Tree, square, xbox
5 Comments
Reduced powers of Souslin trees
Joint work with Ari Meir Brodsky. Abstract. We study the relationship between a
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
5 Comments
