arxiv: 1710.02920 · v1 · pith:64D4H4A3new · submitted 2017-10-09 · 🧮 math.LO

The small index property for homogeneous models in AECs

Zaniar Ghadernezhad , Andr\'es Villaveces This is my paper

classification 🧮 math.LO

keywords indexpropertysmallclassesmodelstheoremaecsamalgamation

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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 (in their case, for saturated models of uncountable first-order theories). 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.

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The small index property for homogeneous models in AECs

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