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Scales and the fine structure of K(R). Part III: Scales of minimal complexity

2006/05/16 by D. W. Cunningham, Daniel W. Cunningham, Cunningham, D. W.
Mathematics · #03E15 (Primary) #03E45 #03E60 (Secondary) #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Limits and Structures in Graph Theory #Logic (math.LO) #math.LO #msc:03E15 #msc:03E45 #msc:03E60

paper · pdf · doi:10.48550/arxiv.math/0605449

23 pages

arxiv created 2006/05/16 · openalex publication_date 2006/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain scales of minimal complexity in K(ℝ) using a Levy hierarchy and a fine structure theory for K(ℝ); that is, we identify precisely those levels of the Levy hierarchy for K(ℝ) which possess the scale property.

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