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