Vol. 120, No. 1, 1985

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When all semiregular H-closed extensions are compact

Jack Ray Porter and R. Grant Woods

Vol. 120 (1985), No. 1, 179–188
Abstract

It is well-known that compactifications of Tychonoff spaces are semiregular and H-closed. Katetov has determined when certain H-closed and semiregular H-closed extensions of a Hausdorff space are compact. In this paper, those Tychonoff spaces in which all semiregular, H-closed extensions are compact are characterized.

Mathematical Subject Classification 2000
Primary: 54D25
Milestones
Received: 21 February 1984
Revised: 4 May 1984
Published: 1 November 1985
Authors
Jack Ray Porter
R. Grant Woods