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Metrization of the One-Point Compactification
Proceedings of the American Mathematical Society
Vol. 107, No. 4 (Dec., 1989), pp. 1111-1115
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2047675
Page Count: 5
You can always find the topics here!Topics: Compactification, Euclidean space, Mathematical theorems, Topological theorems, Constructive mathematics
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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.
Proceedings of the American Mathematical Society © 1989 American Mathematical Society