The Hewitt realcompactification of an orbit space


Eyidogan S., ONAT M.

TURKISH JOURNAL OF MATHEMATICS, cilt.44, sa.6, ss.2330-2336, 2020 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 44 Konu: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-1910-38
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Sayfa Sayıları: ss.2330-2336

Özet

In this paper, we show that the statement in the study of Srivastava (1987) holds also for the Hewitt realcompactification. The mentioned statement showed that when the action of a finite topological group on a Tychonoff space is given, the Stone-Cech compactification of the orbit space of the action is the orbit space of the Stone-Cech compactification of the space. As an application, we show that Srivastava's result can be obtained using the main theorem of the present study.