Almost periodic compactifications of transformation semigroups

Hugo Junghenn

Vol. 57 (1975), No. 1, 207–216

DOI: 10.2140/pjm.1975.57.207

Abstract

In this paper we generalize the notion of (weakly) almost periodic compactification of a semitopological semigroup to the corresponding notion for transformation semigroups. The properties of these compactifications are studied and applications are made to semidirect products.

Mathematical Subject Classification 2000

Primary: 54H15

Secondary: 22A15

Milestones

Received: 23 July 1974

Revised: 4 November 1974

Published: 1 March 1975