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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

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

# 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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