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Open subspaces of locally compact metric spaces

✍ Scribed by Mark Mandelkern

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
183 KB
Volume
39
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

Although classically every open subspace of a locally compact space is also locally compact, constructively this is not generally true. This paper provides a locally compact remetrization for an open set in a compact metric space and constructs a one‐point compactification. MSC: 54D45, 03F60, 03F65.

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