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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
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014

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

# 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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