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### Recent blog posts

- 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

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

# 18th Boise Extravaganza in Set Theory

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