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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the remainders of certain metric spaces


Author: Kenneth D. Magill
Journal: Trans. Amer. Math. Soc. 160 (1971), 411-417
MSC: Primary 54.53
DOI: https://doi.org/10.1090/S0002-9947-1971-0286073-4
MathSciNet review: 0286073
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Abstract: Let $ X$ be completely regular and Hausdorff. The family $ \mathcal{R}(X)$ of all those spaces which are remainders of $ X$ in compactifications has attracted a considerable amount of interest. In this paper we determine, in a certain sense, the family $ \mathcal{R}(X)$ for a fairly large number of spaces $ X$.


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DOI: https://doi.org/10.1090/S0002-9947-1971-0286073-4
Keywords: Compactifications, remainders of spaces in compactifications
Article copyright: © Copyright 1971 American Mathematical Society