Coverings and crossed modules of topological groups with operations

Abstract

It is a well known result in the covering groups that a subgroup $G$ of the fundamental group at the identity of a semi-locally simply connected topological group determines a covering morphism of topological groups with characteristic group $G$. In this paper we generalize this result to a large class of algebraic objects called topological groups with operations, including topological groups. We also give the cover of crossed modules within topological groups with operations.

15 pages, research paper, LaTeX2e, xypic,

Cited by in corpus (4)

• Group-groupoid actions and liftings of crossed modules
• Categories internal to crossed modules
• $G$-compactness for topological groups with operations
• Actions of internal groupoids in the category of Leibniz algebras