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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

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

# 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