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### 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

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