### Archives

### 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

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

# Tag Archives: Ascent Path

## 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