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Characterization of E -subcompactification

Abdolmajid Fattahi, H. R. Ebrahimi Vishki (2006)

Archivum Mathematicum

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For extending the notion of E -algebra, as defined in [2], we present an example of an m-admissible algebra which is not an E - algebra. Then we define E -subcompactification and E -subcompactification to study the universal E -subcompactification and the universal E -subcompactification from the function algebras point of view.

A β -normal Tychonoff space which is not normal

Eva Murtinová (2002)

Commentationes Mathematicae Universitatis Carolinae

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α -normality and β -normality are properties generalizing normality of topological spaces. They consist in separating dense subsets of closed disjoint sets. We construct an example of a Tychonoff β -normal non-normal space and an example of a Hausdorff α -normal non-regular space.