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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

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