### 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

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