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IMCS/Publications/BASM/Issues/BASM n.2 (66), 2011/

On Wallman compactifications of T0-spaces and related questions

Authors: L. I. Calmuţchi, M. M. Choban

Abstract

We study the compactification of the Wallman-Shanin type of T0-spaces. We have introduced the notion of compressed compactification and proved that any compressed compactification is of the Wallman-Shanin type. The problem of the validity of the equality ω(X × Y) = ωX × ωY is examined. Two open questions have arisen.

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