Topological structures of hyperspaces of finite sets in non-separable metrizable spaces

Katsuhisa Koshino

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arXiv · 1508.07788

Topological structures of hyperspaces of finite sets in non-separable metrizable spaces

Katsuhisa Koshino

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Abstract

Let ${\rm Fin}(X)$ be the hyperspace consisting of non-empty finite subsets of a space $X$ endowed with the Vietoris topology. In this paper, we characterize a metrizable space $X$ whose hyperspace ${\rm Fin}(X)$ is homeomorphic to the linear subspace spanned by the canonical orthonormal basis of a non-separable Hilbert space.

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BibTeX RIS

Katsuhisa Koshino. 2015-12-06. Topological structures of hyperspaces of finite sets in non-separable metrizable spaces. https://arxiv.org/abs/1508.07788

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