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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

diamond star 05A17 Uniformization square principles Ascent Path Large Cardinals Reduced Power Fodor-type reflection Nonspecial tree Postprocessing function Slim tree OCA Mandelbrot set L-space incompactness xbox Shelah's Strong Hypothesis Rado's conjecture Commutative cancellative semigroups Cardinal Invariants 20M14 Ostaszewski square approachability ideal Hindman's Theorem Forcing Axioms PFA(S)[S] middle diamond very good scale Successor of Regular Cardinal Aronszajn tree Parameterized proxy principle Small forcing Cardinal function Rock n' Roll square Martin's Axiom weak diamond HOD Forcing PFA Singular coﬁnality projective Boolean algebra Sakurai's Bell inequality Selective Ultrafilter Whitehead Problem coloring number Chang's conjecture Singular cardinals combinatorics Square-Brackets Partition Relations Minimal Walks Rainbow sets Universal Sequences Luzin set Almost Souslin Microscopic Approach Hedetniemi's conjecture 05D10 Uniformly coherent Distributive tree Diamond P-Ideal Dichotomy reflection principles Almost-disjoint famiy Prikry-type forcing polarized partition relation Singular Density free Boolean algebra Souslin Tree Prevalent singular cardinals Club Guessing sap b-scale Axiom R Antichain Poset Stevo Todorcevic Partition Relations Chromatic number Non-saturation Weakly compact cardinal Fast club 11P99 Knaster Erdos-Hajnal graphs Cohen real Successor of Singular Cardinal Hereditarily Lindelöf space S-Space Kurepa Hypothesis weak square Generalized Clubs stationary hitting ccc stationary reflection Dushnik-Miller Almost countably chromatic Erdos Cardinal tensor product graph Fat stationary set Absoluteness Constructible Universe Jonsson cardinal Foundations Coherent tree

# 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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