English

The small index property for homogeneous models in AECs

Logic 2017-10-10 v1

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 (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.

Keywords

Cite

@article{arxiv.1710.02920,
  title  = {The small index property for homogeneous models in AECs},
  author = {Zaniar Ghadernezhad and Andrés Villaveces},
  journal= {arXiv preprint arXiv:1710.02920},
  year   = {2017}
}

Comments

13 pages, Arch. Math. Logic (2017)