### 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

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