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On projective lift and orbit spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
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
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