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 İndekslerine Giren Dergi) identifier identifier

  • 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
  • Sayfa Sayıları: ss.79-84

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.