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- 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

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

# Tag Archives: Luzin set

## 6th European Set Theory Conference, July 2017

I gave a 3-lectures 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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