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- 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

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

# Tag Archives: middle diamond

## The search for diamonds

Abstract: This is a review I wrote for the Bulletin of Symbolic Logic on the following papers: Saharon Shelah, Middle Diamond, Archive for Mathematical Logic, vol. 44 (2005), pp. 527–560. Saharon Shelah, Diamonds, Proceedings of the American Mathematical Society, vol. … Continue reading

Posted in Publications, Reviews, Squares and Diamonds
Tagged Diamond, middle diamond, weak diamond, weak square
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