Globalizing locally compact local groups

TL;DR

This paper proves that every locally compact local group can be locally isomorphic to a topological group, extending the understanding of local group structures.

Contribution

It establishes a globalization result for locally compact local groups, showing their local isomorphism to topological groups.

Findings

Locally compact local groups are locally isomorphic to topological groups.

Provides a foundational result connecting local and global group structures.

Enhances the theory of local groups in topology.

Abstract

Every locally compact local group is locally isomorphic to a topological group.