### 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

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