### 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

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