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

# 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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