### 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
- Genearlizations 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

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