论文标题

具有通用推导的拓扑字段中的可定义组

Definable groups in topological fields with a generic derivation

论文作者

Point, Francoise

论文摘要

我们继续研究一类拓扑$ \ Mathcal {l} $ - 具有通用推导$δ$的字段,重点是描述可定义的组。我们表明,一个人可以与$ \ MATHCAL {l}_δ$定义组A类型$ \ MATHCAL {L} $ - 可定义的拓扑组相关联。我们在K. Peterzil开发的O-Winimal结构中使用组配置工具。

We continue the study of a class of topological $\mathcal{L}$-fields endowed with a generic derivation $δ$, focussing on describing definable groups. We show that one can associate to an $\mathcal{L}_δ$ 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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