- Turkish Journal of Mathematics
- Vol: 43 Issue: 4
- A description for the compactification of the orbit space
A description for the compactification of the orbit space
Authors : Dünya Karapinar, Ali Arslan Özkurt
Pages : 2025-2031
View : 10 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
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