### 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

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