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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Metrization of the one-point compactification


Author: Mark Mandelkern
Journal: Proc. Amer. Math. Soc. 107 (1989), 1111-1115
MSC: Primary 54E35
DOI: https://doi.org/10.1090/S0002-9939-1989-0991703-4
MathSciNet review: 991703
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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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DOI: https://doi.org/10.1090/S0002-9939-1989-0991703-4
Keywords: Locally compact, one-point compactification, metric, constructive
Article copyright: © Copyright 1989 American Mathematical Society