Remarks on metrizability of dual groups

TL;DR

This paper investigates conditions under which the dual of a topological group is metrizable and locally compact, contributing to the understanding of dual group properties in topological group theory.

Contribution

It provides new sufficient conditions for the dual of a topological group to be metrizable and locally compact, advancing the theoretical framework.

Findings

Identifies specific conditions ensuring dual groups are metrizable.

Establishes criteria for local compactness of dual groups.

Enhances understanding of dual group structures.

Abstract

We examine sufficient conditions for the dual of a topological group to be metrizable and locally compact.