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.
© 1958 Duke University Press
Henriksen, Melvin, and J.R. Isbell. "Some properties of compactifications." Duke Mathematical Journal 25.1 (1958): 83–105. DOI: 10.1215/S0012-7094-58-02509-2