### 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

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