### 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

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