Compactifications with discrete remainders
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- by James P. Hatzenbuhler and Don A. Mattson PDF
- Proc. Amer. Math. Soc. 123 (1995), 2927-2934 Request permission
Abstract:
Conditions are obtained which characterize when a space has a Hausdorff compactification with a discrete remainder. A characterization is also given for when the minimal perfect compactification of a 0-space has a discrete remainder. It is shown that a metric space has a compactification with a discrete remainder if and only if it is rimcompact. In general, however, for a space to have a compactification with a discrete remainder, it is not necessary that the space be rimcompact.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2927-2934
- MSC: Primary 54D40
- DOI: https://doi.org/10.1090/S0002-9939-1995-1301028-8
- MathSciNet review: 1301028