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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

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

# 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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