Definable groups in topological fields with a generic derivation

Francoise Point

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arXiv · 2007.11971

Definable groups in topological fields with a generic derivation

Francoise Point

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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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BibTeX RIS

Francoise Point. 2020-07-23. Definable groups in topological fields with a generic derivation. https://arxiv.org/abs/2007.11971

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