Turkish Journal of Mathematics
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 $\ C^{\ast }(\mathbb{R})$.
DOI
10.3906/mat-1904-111
Keywords
Gelfand compactification, one-point compactification, orbit space, continuous and bounded functions ring
First Page
2025
Last Page
2031
Recommended Citation
KARAPINAR, D, & ÖZKURT, A. A (2019). A description for the compactification of the orbit space. Turkish Journal of Mathematics 43 (4): 2025-2031. https://doi.org/10.3906/mat-1904-111
