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projective Boolean algebra Knaster AIM forcing Diamond for trees stationary reflection Coherent tree Fast club Subadditive Selective Ultrafilter P-Ideal Dichotomy Countryman line Prikry-type forcing Fat stationary set GMA Commutative cancellative semigroups Uniformly homogeneous Reduced Power reflection principles Weakly compact cardinal xbox Intersection model indecomposable ultrafilter Universal Sequences polarized partition relation PFA(S)[S] Poset Ostaszewski square PFA Kurepa Hypothesis Subnormal ideal weak square Large Cardinals 54G20 HOD Forcing Analytic sets Dushnik-Miller Aronszajn tree Constructible Universe Uniformization b-scale club_AD ccc Generalized descriptive set theory unbounded function Ramsey theory over partitions square Prevalent singular cardinals Jonsson cardinal free Boolean algebra Mandelbrot set Erdos Cardinal very good scale SNR Sierpinski's onto mapping principle Hedetniemi's conjecture Singular cofinality Iterated forcing Slim tree Well-behaved magma Subtle tree property middle diamond Successor of Singular Cardinal Absoluteness square principles Fodor-type reflection Whitehead Problem Microscopic Approach Strongly compact cardinal Greatly Mahlo Dowker space Uniformly coherent Hindman's Theorem Amenable C-sequence Club Guessing C-sequence Vanishing levels weak diamond Chromatic number ZFC construction Foundations Open Access Hereditarily Lindelöf space Partition Relations Sakurai's Bell inequality Ascent Path Diamond-sharp Square-Brackets Partition Relations strongly bounded groups Axiom R Strongly Luzin set Closed coloring Chang's conjecture transformations Almost Souslin L-space Rado's conjecture Cardinal function Non-saturation coloring number Ulam matrix Shelah's Strong Hypothesis Was Ulam right? nonmeager set Knaster and friends S-Space higher Baire space Filter reflection Antichain Parameterized proxy principle Distributive tree Cohen real Sigma-Prikry Reflecting stationary set Martin's Axiom O-space incompactness sap Nonspecial tree stationary hitting positive partition relation weak Kurepa tree Cardinal Invariants Almost-disjoint family full tree Precaliber Minimal Walks Forcing Axioms OCA Singular cardinals combinatorics free Souslin tree stick regressive Souslin tree Successor of Regular Cardinal tensor product graph Rock n' Roll Almost countably chromatic Diamond Postprocessing function Commutative projection system Subtle cardinal approachability ideal Erdos-Hajnal graphs Lipschitz reduction Local Club Condensation. specializable Souslin tree Strong coloring Rainbow sets Singular Density Luzin set Souslin Tree Respecting tree countably metacompact super-Souslin tree diamond star Ineffable cardinal Small forcing Generalized Clubs
Tag Archives: Almost Souslin
Square with built-in diamond-plus
Joint work with Ralf Schindler. Abstract. We formulate combinatorial principles that combine the square principle with various strong forms of diamond, and prove that the strongest amongst them holds in
Posted in Publications, Squares and Diamonds
Tagged 03E05, 03E45, Almost Souslin, diamond star, Kurepa Hypothesis, Minimal Walks, Respecting tree, square, xbox
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Reduced powers of Souslin trees
Joint work with Ari Meir Brodsky. Abstract. We study the relationship between a