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Club-guessing, stationary reflection, and coloring theorems

2009/05/22 by Todd Eisworth, Eisworth, Todd
Computer Science · Mathematics · #03E02 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.0905.3754

openalex publication_date 2009/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain strong coloring theorems at successors of singular cardinals from failures of certain instances of simultaneous reflection of stationary sets. Along the way, we establish new results in club-guessing and in the general theory of ideals.

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