### 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

Antichain Small forcing 05A17 Parameterized proxy principle Forcing Axioms sap free Boolean algebra OCA incompactness Successor of Singular Cardinal reflection principles 05D10 Hereditarily Lindelöf space square Erdos Cardinal Nonspecial tree Uniformization Generalized Clubs L-space Hindman's Theorem Erdos-Hajnal graphs very good scale polarized partition relation projective Boolean algebra diamond star Minimal Walks Mandelbrot set Cohen real Whitehead Problem Foundations square principles Successor of Regular Cardinal Martin's Axiom Absoluteness Shelah's Strong Hypothesis weak square Fast club Uniformly coherent Fat stationary set Jonsson cardinal Chromatic number Forcing xbox tensor product graph Singular coﬁnality Coherent tree HOD Non-saturation Prikry-type forcing P-Ideal Dichotomy PFA(S)[S] Selective Ultrafilter stationary reflection Cardinal function Hedetniemi's conjecture 11P99 Fodor-type reflection Club Guessing Dushnik-Miller Aronszajn tree Almost Souslin Diamond Chang's conjecture Rado's conjecture weak diamond Almost countably chromatic Large Cardinals S-Space Ascent Path Universal Sequences approachability ideal Knaster Square-Brackets Partition Relations coloring number Souslin Tree Rainbow sets Singular Density b-scale Partition Relations Almost-disjoint famiy Singular cardinals combinatorics Poset Rock n' Roll Prevalent singular cardinals Slim tree middle diamond 20M14 Postprocessing function stationary hitting Commutative cancellative semigroups PFA Microscopic Approach Sakurai's Bell inequality Weakly compact cardinal Stevo Todorcevic Distributive tree Ostaszewski square Cardinal Invariants ccc Reduced Power Constructible Universe Kurepa Hypothesis Axiom R