Some notes on Pontryagin duality of abelian topological groups

2025/10/28 by Kramer, Linus, Hofmann, Karl Heinrich
#FOS: Mathematics #General Topology (math.GN) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2510.24540

Abstract

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

Citations

• Tensor products of topological abelian groups and Pontryagin duality

Related

• Continuous and Pontryagin duality of topological groups
• Pontryagin duality for Abelian s- and sb-groups
• A note on Pontryagin duality and continuous logic
• Pro-Lie Groups: A survey with Open Problems
• The classifications of countably based profinite abelian groups