### 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

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