English

Definable groups in topological fields with a generic derivation

Logic 2020-07-24 v1

Abstract

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

Keywords

Cite

@article{arxiv.2007.11971,
  title  = {Definable groups in topological fields with a generic derivation},
  author = {Francoise Point},
  journal= {arXiv preprint arXiv:2007.11971},
  year   = {2020}
}
R2 v1 2026-06-23T17:20:48.303Z