There is no domain representable dense proper subsemigroup of a topological group

ÖNAL S., VURAL Ç.

TOPOLOGY AND ITS APPLICATIONS, vol.216, pp.79-84, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 216
  • Publication Date: 2017
  • Doi Number: 10.1016/j.topol.2016.11.014
  • Journal Name: TOPOLOGY AND ITS APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.79-84
  • Middle East Technical University Affiliated: Yes

Abstract

We prove that the only domain representable dense subsemigroup of a topological group is itself. Consequently, we obtain that every domain representable subgroup of a topological group is closed. (C) 2016 Elsevier B.V. All rights reserved.