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On the Stone-Čeck compactification of an orbit space

Published online by Cambridge University Press:  17 April 2009

Kavita Srivastava
Kavita Srivastava
Affiliation:
Senior Research Fellow, Allahabad Mathematical Society, Vijay Niwas, 198, Mumfordganj, ALLARABAD 211002, India.
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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

References

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