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Complete extensions of metrizable spaces, preserving dimension and mappings

✍ Scribed by J.M. Aarts

Publisher
Elsevier Science
Year
1971
Weight
909 KB
Volume
1
Category
Article
ISSN
0016-660X

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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