The Hewitt realcompactification of an orbit space

Authors: SADIK EYİDOĞAN, MEHMET ONAT

Abstract: 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.

Keywords: Realcompactification, orbit space, real maximal ideal

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