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Dieudonné completion and -group actions

✍ Scribed by Francisco González; Manuel Sanchis

Book ID: 108286330
Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 128 KB
Volume: 153
Category: Article
ISSN: 0166-8641
DOI: 10.1016/j.topol.2005.08.015

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We prove: if X is a paracompact Hausdorff space, then the space 2x of all nonempty closed subsets of X with the Vietoris topology is DieudonnC complete. If f : X -+ Y is an open-closed continuous onto map and 2 ~4~) is DieudonnC complete, then the extension p(f) : p(X) + p(Y) is open-closed, where p