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Preprint Number 1314

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1314. Zaniar Ghadernezhad, Andrés Villaveces
The small index property for homogeneous models in AECs

Submission date: 9 October 2017


Arch. Math. Logic (2017)
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.

Mathematics Subject Classification: 03C48, 22F50

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Full text arXiv 1710.02920: pdf, ps.

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