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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

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

# 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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