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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