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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

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

# 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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