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### Recent blog posts

- Prikry forcing may add a Souslin tree June 12, 2016
- The reflection principle $R_2$ May 20, 2016
- Prolific Souslin trees March 17, 2016
- Genearlizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014
- Partitioning the club guessing January 22, 2014

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11P99 Generalized Clubs Antichain sap Cardinal Invariants ccc xbox incompactness Poset Successor of Regular Cardinal L-space Martin's Axiom 20M14 Slim tree weak diamond Almost Souslin Hindman's Theorem P-Ideal Dichotomy Singular coﬁnality Fat stationary set Shelah's Strong Hypothesis Constructible Universe Forcing stationary hitting Aronszajn tree very good scale Chromatic number Whitehead Problem tensor product graph middle diamond Successor of Singular Cardinal Reduced Power Fodor-type reflection Coherent tree Almost countably chromatic Singular Density 05D10 Club Guessing Parameterized proxy principle coloring number Kurepa Hypothesis PFA(S)[S] Jonsson cardinal free Boolean algebra weak square square b-scale Souslin Tree Square-Brackets Partition Relations Absoluteness Singular cardinals combinatorics Ostaszewski square Prikry-type forcing Erdos Cardinal Forcing Axioms Prevalent singular cardinals Rado's conjecture 05A17 Erdos-Hajnal graphs Large Cardinals HOD Sakurai's Bell inequality Axiom R approachability ideal Microscopic Approach Universal Sequences Stevo Todorcevic Dushnik-Miller Foundations S-Space Ascent Path Mandelbrot set Cohen real Diamond Cardinal function Chang's conjecture Commutative cancellative semigroups Hedetniemi's conjecture Weakly compact cardinal Non-saturation Almost-disjoint famiy Rock n' Roll Rainbow sets reflection principles OCA Singular Cofinality polarized partition relation Knaster stationary reflection Selective Ultrafilter Hereditarily Lindelöf space Uniformization Minimal Walks Fast club projective Boolean algebra PFA Small forcing diamond star Partition Relations

# 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