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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 144, Pages 96–103 (Mi into277)  
This article is cited in 7 scientific papers (total in 7 papers)

Categorical and Cardinal Properties of Hyperspaces with a Finite Number of Components

R. B. Beshimova, N. K. Mamadalievb, Sh. Kh. Eshtemirovaa

a National University of Uzbekistan named after M. Ulugbek, Tashkent
b V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan
Full-text PDF (189 kB) Citations (7)
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Abstract: In this paper, we examine categorical and cardinal properties of hyperspaces with finite number of components. We prove that the functor $C_{n}:\operatorname{Comp} \to \operatorname{Comp}$ is not normal, i.e., it does not preserve epimorphisms of continuous mappings. We also discuss the density, the caliber, and the Shanin number of the space $C_{n}(X)$.
Keywords: category, functor, hyperspace, connected component, density, caliber.
Funding agency
This work was supported by the grant OT-F-4-42 RUz.
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 3, Pages 390–397
DOI: https://doi.org/10.1007/s10958-020-04701-8
Bibliographic databases:
Document Type: Article
UDC: 517.12
MSC: Primary 18B20; Secondary 18A05, 46A63, 46E27, 54A25
Language: Russian
Citation: R. B. Beshimov, N. K. Mamadaliev, Sh. Kh. Eshtemirova, “Categorical and Cardinal Properties of Hyperspaces with a Finite Number of Components”, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 144, VINITI, M., 2018, 96–103; Journal of Mathematical Sciences, 245:3 (2020), 390–397
Citation in format AMSBIB
\Bibitem{BesMamEsh18}
\by R.~B.~Beshimov, N.~K.~Mamadaliev, Sh.~Kh.~Eshtemirova
\paper Categorical and Cardinal Properties of Hyperspaces with a Finite Number of Components
\inbook Proceedings of the International Conference «Problems of Modern Topology and its Applications»
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 144
\pages 96--103
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into277}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3829876}
\zmath{https://zbmath.org/?q=an:1442.18007}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 3
\pages 390--397
\crossref{https://doi.org/10.1007/s10958-020-04701-8}
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  • https://www.mathnet.ru/eng/into/v144/p96
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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