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### 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

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

# 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