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### Recent blog posts

- 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

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

# Tag Archives: Luzin set

## 6th European Set Theory Conference, July 2017

I gave a 3-lecture tutorial at the 6th European Set Theory Conference in Budapest, July 2017. Title: Strong colorings and their applications. Abstract. Consider the following questions. Is the product of two $\kappa$-cc partial orders again $\kappa$-cc? Does there exist … Continue reading

Posted in Invited Talks, Open Problems
Tagged b-scale, Cohen real, Luzin set, Minimal Walks, Souslin Tree, Square-Brackets Partition Relations
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