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