We study some topological and uniform properties of hhyperspaces (completeness and countably compactness). In particular, a proposition of E. Michael on local compactness of K(X) is reviewed. we provide two counterexamples of an assertion formulated by J.E. Isbell and prove the related question in a particular case.

Notes on the topologies and uniformities of hyperspaces

ARTICO, GIULIANO;MORESCO, ROBERTO
1980

Abstract

We study some topological and uniform properties of hhyperspaces (completeness and countably compactness). In particular, a proposition of E. Michael on local compactness of K(X) is reviewed. we provide two counterexamples of an assertion formulated by J.E. Isbell and prove the related question in a particular case.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/140566
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