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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

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

# 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