Geodesic
On the countably-compactifiability in the sense of Morita
Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2021), pp. 46-53

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We consider an extension $Y$ of a topological space $X$ that is canonically embedded in the Wallman extension $\omega X$, in which any countably compact set closed in $X$ is closed and such that any infinite set contained in $X$ has a limit point in it. This extension is called saturation of the space $X$. We find a necessary and sufficient condition for the countable compactness of the space $Y$. Thus the problem of existence of countably-compactification in the sense of Morita of certain type is solved.
Keywords: countably-compactification in the sense of Morita; Wallman compactification; saturation of topological space. 
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     title = {On the countably-compactifiability in the sense of {Morita}},
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V. L. Timokhovich; H. O. Kukrak. On the countably-compactifiability in the sense of Morita. Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2021), pp. 46-53. http://geodesic.mathdoc.fr/item/BGUMI_2021_1_a3/