### 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

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