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PSEUDOFINITE H-STRUCTURES AND GROUPS DEFINABLE IN SUPERSIMPLE H-STRUCTURES
Published online by Cambridge University Press: 02 April 2019
Abstract
In this article we explore some properties of H-structures which are introduced in [2]. We describe a construction of H-structures based on one-dimensional asymptotic classes which preserves pseudofiniteness. That is, the H-structures we construct are ultraproducts of finite structures. We also prove that under the assumption that the base theory is supersimple of SU-rank one, there are no new definable groups in H-structures. This improves the corresponding result in [2].
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- Copyright © The Association for Symbolic Logic 2019
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