Free products of topological groups with amalgamation

Elyahu Katz and Sidney Allen Morris

Vol. 119 (1985), No. 1, 169–180

DOI: 10.2140/pjm.1985.119.169

Abstract

It is proved that the free product of any two k_ω-groups with a compact subgroup amalgamated is a k_ω-group, and in particular, Hausdorff.

Mathematical Subject Classification 2000

Primary: 22A05

Milestones

Received: 21 July 1980

Revised: 4 July 1984

Published: 1 September 1985