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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

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

# 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