### Archives

### 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

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