Toward classification theory of good lambda frames and abstract elementary classes

2004/04/15 by Saharon Shelah, Shelah, Saharon
Computer Science · Mathematics · #Advanced Algebra and Logic #FOS: Mathematics #Logic (math.LO) #math.LO

paper · pdf · doi:10.48550/arxiv.math/0404272

arxiv created 2004/04/15 · openalex publication_date 2004/04/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

lambda-good frame is for us a parallel of the class of models of a superstable theory. Our main line is to start with lambda-good⁺ frame s, categorical in lambda, n-successful for n large enough and try to have parallel of stability theory for K_s(+l) for l=lambda. Recall there are reasonable lambda-frames which are not n-excellent but still we can say alot on models in K_s(+l) for l

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