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Sufficient conditions
for the set of Hausdorff compactifications to be a
lattice
Fu-Chien Tzung |
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Vol. 77 (1978), No. 2, 565–573
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Abstract |
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Let K(X) be the complete upper semilattice of compactifications of a completely regular Hausdorff space X. We show that if βX∖X is C∗-embedded in βX and if either αX∖X 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
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Milestones
Received: 29 April 1977
Revised: 14 October 1977
Published: 1 August 1978
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Authors |
| Fu-Chien Tzung | |
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