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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
- Generalizations 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

### Keywords

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

# 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