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Derived Subspaces of Metric Spaces

Published online by Cambridge University Press:  20 November 2018

Harold W. Martin
Harold W. Martin*
Affiliation:
Department of Mathematics, University of Wisconsin-Milwaukee, Milwaukee, Wisconsin 53201
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It is shown that the boundary of the set of accumulation points of a metrizable space X is compact iff X has a compatible metric d such that d(A, B)>0 whenever A and B are disjoint closed subsets of X, each of which is disjoint from the set of accumulation points.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 23 , Issue 4 , 01 December 1980 , pp. 465 - 467
Copyright
Copyright © Canadian Mathematical Society 1980

References

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