Properties of Topological Partitions and Mappings of Topological Groups

Properties of Topological Partitions and Mappings of Topological Groups

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. N...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-10, Vol.276 (3), p.353-359
1. Verfasser: Arkhangel’skii, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Continuity (mathematics)
Homogeneity
Mathematics
Mathematics and Statistics
Topology
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Zusammenfassung: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06749-8