Vol. 77, No. 2, 1978

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Sufficient conditions for the set of Hausdorff compactifications to be a lattice

Fu-Chien Tzung

Vol. 77 (1978), No. 2, 565–573
Abstract

Let K(X) be the complete upper semilattice of compactifications of a completely regular Hausdorff space X. We show that if βXX is C-embedded in βX and if either αXX is realcompact or is a P-space for some αX in K(X), then K(X) is a lattice.

Mathematical Subject Classification 2000
Primary: 54D35
Milestones
Received: 29 April 1977
Revised: 14 October 1977
Published: 1 August 1978
Authors
Fu-Chien Tzung