Abstract
In this paper, we examine topological partitions of topological spaces that arise in connection with continuous mappings of topological spaces. The content of the paper is closely related to such classical fundamental concepts of general topology as compactness, homogeneity, and Čech completeness. New facts related to these concepts are obtained.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 179, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 1, 2020.
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Arkhangel’skii, A.V. Properties of Topological Partitions and Mappings of Topological Groups. J Math Sci 276, 353–359 (2023). https://doi.org/10.1007/s10958-023-06749-8
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DOI: https://doi.org/10.1007/s10958-023-06749-8
Keywords and phrases
- topological partition
- Čech-complete space
- k-covering mapping
- dyadic compactum
- Factor topology
- topological group