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

ÖNAL S., VURAL Ç.

TOPOLOGY AND ITS APPLICATIONS, cilt.216, ss.79-84, 2017 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 216
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.topol.2016.11.014
  • Dergi Adı: TOPOLOGY AND ITS APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.79-84
  • Gazi Üniversitesi Adresli: Evet

Özet

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.