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On projective lift and orbit spaces

Published online by Cambridge University Press:  17 April 2009

T.K. Das
T.K. Das
Affiliation:
Department of MathematicsFaculty of Science The MS University of BarodaVadodara 390 002, India
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Abstract

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By constructing the projective lift of a dp-epimorphism, we find a covariant functor E from the category Cd of regular Hausdorff spaces and continuous dp-epimorphisms to its coreflective subcategory εd consisting of projective objects of Cd We use E to show that E(X/G) is homeomorphic to EX/G whenever G is a properly discontinuous group of homeomorphisms of a locally compact Hausdorff space X and X/G is an object of Cd.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 50 , Issue 3 , December 1994 , pp. 445 - 449
Copyright
Copyright © Australian Mathematical Society 1994

References

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