Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem

Research output: Working paper/PreprintPreprint

4 Downloads (Pure)

Abstract

For a locally quasi-convex (lqc) abelian group $G$, we give the first description of all compatible group topologies on $G$ 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.
Original languageEnglish
StatePublished - 9 Apr 2022

Keywords

  • math.GR
  • math.GN
  • 46A8, 46E10, 54H11

Fingerprint

Dive into the research topics of 'Compatible group topologies on a locally quasi-convex abelian group and the Mackey group problem'. Together they form a unique fingerprint.

Cite this