Some Properties of Compactifications

Authors

Melvin Henriksen, Harvey Mudd CollegeFollow
John R. Isbell, University at Buffalo

Document Type

Article

Department

Mathematics (HMC)

Publication Date

3-1-1958

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.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/irw,299

This article can also be found at http://projecteuclid.org/euclid.dmj/1077467780

Rights Information

© 1958 Duke University Press

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

DOI

10.1215/S0012-7094-58-02509-2

Recommended Citation

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