A description for the compactification of the orbit space

Authors

DÜNYA KARAPINAR
ALİ ARSLAN ÖZKURT

DOI

10.3906/mat-1904-111

Abstract

Let$\ X$ be a locally compact and noncompact$\ G-$space with a compact group $G$. In this paper, we give some useful description of a compactification of the orbit space $X/G$ when it is an orbit space of a $G-$compactification of $X$. As an application, we show that the closed bounded interval $[a,b]$ is homeomorphic to the space of maximal ideals with Stone topology of uniformly continuous even functions subring of $\ C^{\ast }(\mathbb{R})$.

Keywords

Gelfand compactification, one-point compactification, orbit space, continuous and bounded functions ring

First Page

2025

Last Page

2031

Recommended Citation

KARAPINAR, DÜNYA and ÖZKURT, ALİ ARSLAN (2019) "A description for the compactification of the orbit space," Turkish Journal of Mathematics: Vol. 43: No. 4, Article 17. https://doi.org/10.3906/mat-1904-111
Available at: https://journals.tubitak.gov.tr/math/vol43/iss4/17