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Weakly compact cardinal PFA Subtle tree property positive partition relation Hereditarily Lindelöf space Prikry-type forcing Uniformly homogeneous Entangled linear order GMA approachability ideal Jonsson cardinal Diamond Local Club Condensation. Mandelbrot set Forcing with side conditions Whitehead Problem AIM forcing middle diamond weak square Square-Brackets Partition Relations regressive Souslin tree Filter reflection weak diamond Poset Forcing Axioms ZFC construction Large Cardinals Analytic sets Partition relations for trees Interval topology on trees incompactness Antichain weak Kurepa tree Martin's Axiom Knaster and friends Fat stationary set Amenable C-sequence full tree Parameterized proxy principle unbounded function ccc Erdos Cardinal Hindman's Theorem Commutative projection system Diamond-sharp Foundations Intersection model O-space Almost Souslin Coherent tree free Boolean algebra countably metacompact Successor of Regular Cardinal Fodor-type reflection Non-saturation Souslin Tree Erdos-Hajnal graphs Monotonically far Singular cofinality Kurepa Hypothesis HOD transformations SNR tensor product graph higher Baire space Greatly Mahlo Sierpinski's onto mapping principle Lipschitz reduction PFA(S)[S] specializable Souslin tree diamond star Strongly Luzin set stick Ulam matrix Ascent Path Ostaszewski square b-scale Distributive tree Almost countably chromatic Sigma-Prikry Dowker space Commutative cancellative semigroups Singular Density square principles strongly bounded groups Club Guessing 54G20 P-Ideal Dichotomy free Souslin tree Postprocessing function L-space Rock n' Roll Ascending path Successor of Singular Cardinal Precaliber Sakurai's Bell inequality Rainbow sets polarized partition relation Generalized Clubs Subadditive Almost-disjoint family Microscopic Approach Uniformization Slim tree Fast club Iterated forcing Open Access Luzin set Chromatic number Reduced Power Subnormal ideal Cohen real Small forcing Cardinal Invariants indecomposable filter Minimal Walks club_AD Cardinal function OCA Respecting tree stationary reflection Universal Sequences Reflecting stationary set Prevalent singular cardinals projective Boolean algebra Absoluteness sap perfectly normal Aronszajn tree Ineffable cardinal Hedetniemi's conjecture reflection principles coloring number Was Ulam right? square Dushnik-Miller Closed coloring Generalized descriptive set theory Constructible Universe Selective Ultrafilter Axiom R Diamond for trees Partition Relations S-Space Knaster Forcing Shelah's Strong Hypothesis very good scale Nonspecial tree super-Souslin tree stationary hitting Countryman line Vanishing levels Strongly compact cardinal Singular cardinals combinatorics nonmeager set Chang's conjecture Uniformly coherent Well-behaved magma C-sequence xbox Rado's conjecture Ramsey theory over partitions Subtle cardinal Strong coloring
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 $L$ for every infinite cardinal. As an application, we prove that … Continue reading
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 $\kappa$-Souslin tree $T$ and its reduced powers $T^\theta/\mathcal U$. Previous works addressed this problem from the viewpoint of a single power $\theta$, whereas here, tools are developed … Continue reading
