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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

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

# Tag Archives: weak 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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