Wijsman Hyperspaces: Subspaces and Embeddings

Details Wijsman Hyperspaces: Subspaces and Embeddings Wijsman Hyperspaces: Subspaces and Embeddings

2011-11-22

arxiv.org/abs/1111.5103v1

Mathematics

General Topology

6 pages

Scientific paper

In this paper, topological properties of Wijsman hyperspaces are
investigated. We study the existence of isolated points in Wijsman hyperspaces.
We show that every Tychonoff space can be embedded as a closed subspace in the
Wijsman hyperspace of a complete metric space which is locally R.

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