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Preprint Number 1442

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1442. Tingxiang Zou
Pseudofinite H-structures and groups definable in supersimple H-structures
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Submission date: 4 June 2018

Abstract:

In this paper we explore some properties of H-structures. We describe a construction of H-structures based on one-dimensional asymptotic classes which preserves pseudo-finiteness. 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.

Mathematics Subject Classification:

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Full text arXiv 1806.01398: pdf, ps.


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