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