### 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
- Genearlizations 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

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

# 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