DieudonnΓ© completeness of a space of clo
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Haruto Ohta
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Article
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1998
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Elsevier Science
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English
β 333 KB
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