Functor properties of the Ω-saturation of a topological space

Authors

  • Aliaksandr S. Biadrytski Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus
  • Vladimir L. Timokhovich Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

Keywords:

saturation of a topological space;, countably-compactification in the Morita sense, Wallman compactification

Abstract

Herein, we consider the Ω-saturations of a topological space X, which are canonically embedded in the Wallman extension ωX 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 to Ω-saturations of the spaces X and Y, as well as sufficiently wide categories on which the covariant functors arising in this case are defined.

Author Biographies

  • Aliaksandr S. Biadrytski, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    master’s degree student at the department of geometry, topology and mathematics teaching methodology, faculty of mechanics and mathematics

  • Vladimir L. Timokhovich, Belarusian State University, 4 Niezaliežnasci Avenue, Minsk 220030, Belarus

    PhD (physics and mathematics), docent; associate professor at the department of geometry, topology and mathematics teaching methodology, faculty of mechanics and mathematics

References

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Published

2023-03-26

Issue

No. 1 (2023): Journal of the Belarusian State University. Mathematics and Informatics

Section

Geometry and Topology

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How to Cite

[1]
Biadrytski, A.S. and Timokhovich, V.L. 2023. Functor properties of the Ω-saturation of a topological space. Journal of the Belarusian State University. Mathematics and Informatics. 1 (Mar. 2023), 31–37. DOI:https://doi.org/10.33581/2520-6508-2023-1-31-37.