### 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

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