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- A strong form of König’s lemma October 21, 2017
- 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
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Luzin set xbox Nonspecial tree Cohen real Ascent Path Parameterized proxy principle free Souslin tree stationary hitting Antichain Stevo Todorcevic weak diamond Rado's conjecture Uniformly coherent Knaster Hedetniemi's conjecture Coherent tree Club Guessing stationary reflection Large Cardinals Aronszajn tree Dushnik-Miller Forcing Axioms Almost Souslin free Boolean algebra Cardinal function Chromatic number Selective Ultrafilter Souslin Tree Jonsson cardinal Hereditarily Lindelöf space Successor of Singular Cardinal Martin's Axiom Shelah's Strong Hypothesis Small forcing Uniformization Partition Relations square P-Ideal Dichotomy Almost countably chromatic L-space Whitehead Problem Axiom R approachability ideal Non-saturation middle diamond Sakurai's Bell inequality Absoluteness Rainbow sets diamond star Distributive tree Generalized Clubs Universal Sequences b-scale Erdos-Hajnal graphs HOD sap reflection principles Almost-disjoint famiy PFA(S)[S] Chang's conjecture projective Boolean algebra Fat stationary set Kurepa Hypothesis Mandelbrot set Reduced Power Slim tree Forcing Commutative cancellative semigroups Postprocessing function Hindman's Theorem Fodor-type reflection ccc tensor product graph incompactness weak square Weakly compact cardinal Microscopic Approach Minimal Walks OCA Poset Square-Brackets Partition Relations very good scale Fast club super-Souslin tree Prikry-type forcing Singular cardinals combinatorics S-Space Rock n' Roll Cardinal Invariants Erdos Cardinal Constructible Universe coloring number Successor of Regular Cardinal square principles Foundations Prevalent singular cardinals PFA polarized partition relation Singular coﬁnality Ostaszewski square Singular Density Diamond specializable 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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