Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem
Group Theory
2022-04-12 v1 General Topology
Abstract
For a locally quasi-convex (lqc) abelian group , we give the first description of all compatible group topologies on and apply this result to the Mackey group problem for lqc groups. We characterize lqc abelian groups which are Mackey groups or admit a Mackey group topology and provide a characterization of two Mackey groups whose product is Mackey. We obtain the first characterization of locally convex spaces which are Mackey groups.
Keywords
Cite
@article{arxiv.2204.04389,
title = {Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem},
author = {Saak Gabriyelyan},
journal= {arXiv preprint arXiv:2204.04389},
year = {2022}
}