### 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

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