Totally bounded group topologies and closed subgroups

S. Janakiraman and T. Soundararajan

Vol. 101 (1982), No. 1, 123–132

DOI: 10.2140/pjm.1982.101.123

Abstract

Let (G,J) be an infinite compact totally disconnected abelian group. Finer totally bounded group topologies J′ such that every J′-closed subgroup is J-closed are studied. Necessary and sufficient conditions for the existence of such a J′≠J are given.

Mathematical Subject Classification 2000

Primary: 22A05

Secondary: 22C05

Milestones

Received: 18 February 1981

Revised: 30 June 1981

Published: 1 July 1982