Jensen's diamond principle and its relatives

2009/11/11 by Rinot, Assaf
#03E50 #FOS: Mathematics #Logic (math.LO) #Primary 03E05 #Secondary 03E35

paper · doi:10.48550/arxiv.0911.2151

Abstract

We survey some recent results on the validity of Jensen's diamond principle at successor cardinals. We also discuss weakening of this principle such as club guessing, and anti-diamond principles such as uniformization. A collection of open problems is included.

Related

• A class of strong diamond principles
• Approximating diamond principles on products at an inaccessible cardinal
• Diamond (on the regulars) can fail at any strongly unfoldable cardinal
• Diamonds, Compactness, and Measure Sequences
• (Weak) diamond can fail at the least inaccessible cardinal