𝔖 Bobbio Scriptorium
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Function Spaces and Dieudonné Completeness

✍ Scribed by Valov, Vesko; Vuma, Dumisani

Book ID
118206994
Publisher
Taylor and Francis Group
Year
1998
Tongue
English
Weight
451 KB
Volume
21
Category
Article
ISSN
1607-3606

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✍ Haruto Ohta 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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