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

# 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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