Main gap for locally saturated elementary submodels of a homogeneous\n structure

1998/04/14 by Tapani Hyttinen, Saharon Shelah, Hyttinen, Tapani +1
Engineering · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Stability and Controllability of Differential Equations #math.LO

paper · pdf · doi:10.48550/arxiv.math/9804157

published as J. Symbolic Logic 66 No. 3 (2001) 1286--1302

openalex publication_date 1998/04/14 · arxiv created 1998/04/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We prove a main gap theorem for e-saturated submodels of a homogeneous\nstructure. We also study the number of e-saturated models, which are not\nelementarily embeddable to each other\n

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