### 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

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