### 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

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

# 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