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