Turkish Journal of Mathematics
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 $\ C^{\ast }(\mathbb{R})$.
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