### 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

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