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The small index property for homogeneous models in AEC’s
Archive for Mathematical Logic 57 (1-2):141-157 (2018)
Abstract
We prove a version of a small index property theorem for strong amalgamation classes. Our result builds on an earlier theorem by Lascar and Shelah. We then study versions of the small index property for various non-elementary classes. In particular, we obtain the small index property for quasiminimal pregeometry structures.Author's Profile
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References found in this work
Pseudo-exponentiation on algebraically closed fields of characteristic zero.Boris Zilber - 2005 - Annals of Pure and Applied Logic 132 (1):67-95.
Examples of non-locality.John T. Baldwin & Saharon Shelah - 2008 - Journal of Symbolic Logic 73 (3):765-782.
Categoricity in quasiminimal pregeometry classes.Levon Haykazyan - 2016 - Journal of Symbolic Logic 81 (1):56-64.
Quasiminimal abstract elementary classes.Sebastien Vasey - 2018 - Archive for Mathematical Logic 57 (3-4):299-315.
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