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Definable groups in topological fields with a generic derivation

Published 23 Jul 2020 in math.LO | (2007.11971v1)

Abstract: We continue the study of a class of topological $\mathcal{L}$-fields endowed with a generic derivation $\delta$, focussing on describing definable groups. We show that one can associate to an $\mathcal{L}_{\delta}$ definable group a type $\mathcal{L}$-definable topological group. We use the group configuration tool in o-minimal structures as developed by K. Peterzil.

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