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### Recent blog posts

- A strong form of König’s lemma October 21, 2017
- 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

### Keywords

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

# 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