### Archives

### Recent blog posts

- A strong form of König’s lemma October 21, 2017
- 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

### Keywords

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