Construction of right topological compactifications for discrete versions of subsemigroups of compact groups
type: Item
instance of: scholarly article
title: Construction of right topological compactifications for discrete versions of subsemigroups of compact groups
zbMATH Open document ID: 0665.22002
DOI: 10.1007/BF02573285
author: S. H. Smith
published in: Semigroup Forum
publication date: 1989-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/134975
review text: In [ibid. 35, 207-225 (1987; Zbl 0615.22002)], \textit{J. Pym} constructed right topological compactifications for discrete versions of subsemigroups of compact groups that are of simple algebraic structure but are rather sophisticated topologically. In this paper, a relatively short, direct, and more transparent construction of the same compactifications is presented, using as a tool nothing but the existence of Stone-Čech compactifications. Various characterizations for the compactifications to the semitopological are obtained.
Mathematics Subject Classification ID: 22A15
Mathematics Subject Classification ID: 22C05
Mathematics Subject Classification ID: 54D35
zbMATH DE Number: 4087933
zbMATH Keywords: right topological compactifications
zbMATH Keywords: subsemigroups of compact groups
zbMATH Keywords: Stone-Čech compactifications
zbMATH Keywords: semitopological
MaRDI profile type: Publication
cites work: Compact right topological semigroups and generalizations of almost periodicity
cites work: Q5344734
cites work: Q4150804
cites work: Q3270120
cites work: Q5723435
cites work: The Second Dual of the Group Algebra of a Compact Group
cites work: Q5550062
cites work: A construction of compact right topological semigroups from compact groups
cites work: Q4043738
description: scientific article; zbMATH DE number 4087933