Main gap for locally saturated elementary submodels of a homogeneous structure

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Journal of Symbolic Logic 66 (3):1286-1302 (2001)
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Abstract

We prove a main gap theorem for locally saturated submodels of a homogeneous structure. We also study the number of locally saturated models, which are not elementarily embeddable into each other

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10.2307/2695107

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References found in this work

Strong splitting in stable homogeneous models.Tapani Hyttinen & Saharon Shelah - 2000 - Annals of Pure and Applied Logic 103 (1-3):201-228.
Ranks and pregeometries in finite diagrams.Olivier Lessmann - 2000 - Annals of Pure and Applied Logic 106 (1-3):49-83.
Generalizing Morley's Theorem.Tapani Hyttinen - 1998 - Mathematical Logic Quarterly 44 (2):176-184.
From stability to simplicity.Byunghan Kim & Anand Pillay - 1998 - Bulletin of Symbolic Logic 4 (1):17-36.
The primal framework I.J. T. Baldwin & S. Shelah - 1990 - Annals of Pure and Applied Logic 46 (3):235-264.

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