### 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

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