A description for the compactification of the orbit space

Let X be a locally compact and noncompact G?space with a compact group G. In this paper, we givesome useful description of a compactification of the orbit space X/G when it is an orbit space of a G?compactificationof X. As an application, we show that the closed bounded interval [a; b] is homeomorphic to the space of maximal idealswith Stone topology of uniformly continuous even functions subring of C(R) .

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ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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