On Hausdorff compactifications of non-locally compact spaces
Let X be a completely regular, Hausdorff space and let R be the set of points in X which do not possess compact neighborhoods. Assume R is compact. If X has a compactification with a countable remainder, then so does the quotient X/R, and a countable compactificatlon of X/R implies one for X−R. A ch...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
1979-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Subjects: | |
Online Access: | http://dx.doi.org/10.1155/S0161171279000375 |