### 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

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