### 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

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