1958•Duke Mathematical JournalRequires access
Some properties of compactifications
Melvin Henriksen, J. R. Isbell
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Abstract
A compactification of a topological space X is a compact (Hausdorff) space containing a dense subspace homeomorphic with X. Since only completely regular spaces have compactifications, all spaces mentioned here will be completely regular unless the contrary is assumed explicitly. This paper is a study of properties of the sets of points which may be added to a space in compactifying it.