### Archives

### 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

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

# 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