The Hewitt realcompactification of an orbit space

Abstract

Srivastava [12] showed that when the action of a finite topological group on a Tychonoff space is given, the Stone-Čech compactification of the orbit space of the action is the orbit space of the Stone-Čech compactification of the space. In this paper, we show that this statement holds also for the Hewitt realcompactification. As an application, we show that Srivastava's result can be obtained using the main theorem of the present study.