Article ID Journal Published Year Pages File Type
4657801 Topology and its Applications 2016 11 Pages PDF
Abstract

Let Fin(X)Fin(X) be the hyperspace consisting of non-empty finite subsets of a topological space X endowed with the Vietoris topology. In this paper, we characterize topological spaces X   whose hyperspace Fin(X)Fin(X) is homeomorphic to the pre-Hilbert space ℓ2f(κ) for an uncountable cardinal κ.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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