Vol. 38, No. 1, 1971

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On completely Hausdorff-completion of a completely Hausdorff space

Asit Baran Raha

Vol. 38 (1971), No. 1, 161–166

R. M. Stephenson, Jr. (Trans. Amer. Math. Soc. 133 (1968), 537-546) has established the existence of a completely Hausdorff-closed extension Xγ of an arbitrary completely Hausdorff space X. Stephenson demonstrates that Xenjoys many interesting properties of the Stone Č ech compactification. This paper shows that, by a modification of the topology, Xis made also to possess a property which is in the line of the celebrated property of the Stone-Cechv compactification of a completely regular Hausdorff space that it is the largest amongst all Hausdorff compactifications.

Mathematical Subject Classification 2000
Primary: 54D35
Received: 16 November 1970
Published: 1 July 1971
Asit Baran Raha