Geodesic
Functor properties of the $\Omega$-saturation of a topological space
Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2023), pp. 31-37

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Herein, we consider the $\Omega$-saturations of a topological space $X$, which are canonically embedded in the Wallman extension $\omega X$ and are a weakening of the concept of the countably-compactification in the Morita sense. We find necessary and sufficient conditions of the continious extension of a map $X \xrightarrow{f} Y$ to $\Omega$-saturations of the spaces $X$ and $Y$, as well as sufficiently wide categories on which the covariant functors arising in this case are defined.
Keywords: saturation of a topological space; countably-compactification in the Morita sense; Wallman compactification. 
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     title = {Functor properties of the $\Omega$-saturation of a topological space},
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A. S. Biadrytski; V. L. Timokhovich. Functor properties of the $\Omega$-saturation of a topological space. Journal of the Belarusian State University. Mathematics and Informatics, Tome 1 (2023), pp. 31-37. http://geodesic.mathdoc.fr/item/BGUMI_2023_1_a2/