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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

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

# 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