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math.LO2014
Ordered asymptotic classes of finite structures
Darío García
In this paper we introduce the concept of O-asymptotic classes of finite structures, melding ideas coming from 1-dimensional asymptotic classes and o-minimality. The results we pre…
math.LO2014
Pseudofinite structures and simplicity
Dario Garcia, Dugald Macpherson, Charles Steinhorn
We explore a notion of pseudofinite dimension, introduced by Hrushovski and Wagner, on an infinite ultraproduct of finite structures. Certain conditions on pseudofinite dimension a…