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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

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

# 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