### 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

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