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Metrization of the One-Point Compactification

Mark Mandelkern
Proceedings of the American Mathematical Society
Vol. 107, No. 4 (Dec., 1989), pp. 1111-1115
DOI: 10.2307/2047675
Stable URL: http://www.jstor.org/stable/2047675
Page Count: 5
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Metrization of the One-Point Compactification
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Abstract

A new, more widely applicable, constructive definition of locally compact metric space is given, and a metric one-point compactification is constructed. Classically, this provides a simpler, more direct, construction of a metric on the one-point compactification of a separable locally compact metric space.

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