A description for the compactification of the orbit space

KARAPINAR D., ÖZKURT A. A.

TURKISH JOURNAL OF MATHEMATICS, cilt.43, sa.4, ss.2025-2031, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 43 Sayı: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3906/mat-1904-111
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2025-2031
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

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).