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Wallman
compactifications on E-completely regular spaces
Norma Mary Piacun and Li Pi Su |
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Vol. 45 (1973), No. 1, 321–326
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Abstract |
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The Wallman space on E-completely regular spaces is considered. Let ℱ be the family of all E-closed subsets of an E-completely regular space X. Then the Wallman space 𝒲(X,ℱ) is a compactification of X. In particular, if E is such that I = [0,1] is E-completely regular, then 𝒲(X,ℱ) is an E-compactification. An example is given to show that I being E-completely regular is necessary. |
Mathematical Subject Classification 2000
Primary: 54D35
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Milestones
Received: 3 November 1971
Revised: 1 May 1972
Published: 1 March 1973
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Authors |
| Norma Mary Piacun | |
| Li Pi Su | |
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