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On the Stone-Čeck compactification of an orbit space
Published online by Cambridge University Press: 17 April 2009
Extract
By extending the given action of a discrete group G on a Tychonoff space X to βX, it is proved that the Stone-Čech compactification of the orbit space of X is the orbit space of the Stone-Čech compactification βX of X, when G is finite. The notion of G-retractive spaces is introduced and it is proved that the orbit space of a G-retractive space with G finite, is G-retractive.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 36 , Issue 3 , December 1987 , pp. 435 - 439
- Copyright
- Copyright © Australian Mathematical Society 1987
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