Universal covers of topological modules and a monodromy principle

Main Article Content

Osman Mucuk
Mehmet Ozdemir

Abstract

Let $R$ be a simply connected topological ring and $M$ be a topological left $R$-module in which the underling topology is path connected and has a universal cover. In this paper, we prove that a simply connected cover of $M$ admits the structure of a topological left $R$-module, and prove a Monodromy Principle, that a local morphism on $M$ of topological left $R$-modules extends to a morphism of topological left $R$-modules.

Article Details

How to Cite
Mucuk, O., & Ozdemir, M. (2003). Universal covers of topological modules and a monodromy principle. Tamkang Journal of Mathematics, 34(4), 299–308. https://doi.org/10.5556/j.tkjm.34.2003.232
Section
Papers
Author Biography

Osman Mucuk

Department of Mathematics, Erciyes University, Kayseri 38039, Turkey.