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- 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

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

# Tag Archives: Selective Ultrafilter

## 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