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On the Projective Cover of an orbit space

Part of: Connections with other structures, applications

Published online by Cambridge University Press:  09 April 2009

K. K. Azad  and
Gunjan Agrawal
K. K. Azad
Affiliation:
‘Vijaya Niwas’ 198, Mumfordganj Allahabad, 211002, India
Gunjan Agrawal
Affiliation:
Department of Mathematics and Statistics, University of Allahabad, Allahabad, India
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Abstract

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In this paper, we obtain the projective cover of the orbit space X/G in terms of the orbit space of the projective space of X, when X is a Tychonoff G-space and G is a finite discrete group. An example shows that finiteness of G is needed.

Keywords

Stone spaceStone-Čech compactificationprojective coverorbit space.

MSC classification

Secondary: 54H15: Transformation groups and semigroups

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 46 , Issue 2 , April 1989 , pp. 308 - 312
Copyright
Copyright © Australian Mathematical Society 1989

References

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