### 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

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