A description for the compactification of the orbit space

KARAPINAR D., ÖZKURT A. A.

TURKISH JOURNAL OF MATHEMATICS, vol.43, no.4, pp.2025-2031, 2019 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 43 Issue: 4
  • Publication Date: 2019
  • Doi Number: 10.3906/mat-1904-111
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2025-2031
  • Karadeniz Technical University Affiliated: Yes

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*(R).