Some notes on Pontryagin duality of abelian topological groups

TL;DR

This paper explores various aspects of Pontryagin duality within the category of abelian pro-Lie groups, addressing fundamental questions about their duality properties.

Contribution

It investigates several open questions related to Pontryagin duality specifically for abelian pro-Lie groups, advancing theoretical understanding.

Findings

Addresses key questions about duality in abelian pro-Lie groups

Provides new insights into the structure of Pontryagin duality

Enhances theoretical framework for topological group duality

Abstract

We consider several questions related to Pontryagin duality in the category of abelian pro-Lie groups.