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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2023, Volume 29, Number 1, Pages 160–166
DOI: https://doi.org/10.21538/0134-4889-2023-29-1-160-166 (Mi timm1984) 		 
Different kinds of tightness on the space of Baire-one functions

A. V. Osipovabc

a N.N. Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
c Ural State University of Economics, Ekaterinburg
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DOI: https://doi.org/10.21538/0134-4889-2023-29-1-160-166
Abstract: We study different kinds of tightness of the space $B_1(X)$ of Baire-one real-valued functions defined on a topological space $X$ with the topology of pointwise convergence.
Keywords: tightness, fan tightness, strongly fan tightness, $T$-tightness, set-tightness, function space.
Received: 17.10.2022
Revised: 02.02.2023
Accepted: 06.02.2023
Bibliographic databases:
Document Type: Article
UDC: 517.982.272+515.122.55
MSC: 54C30, 54C35, 54D65
Language: Russian
Citation: A. V. Osipov, “Different kinds of tightness on the space of Baire-one functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 29, no. 1, 2023, 160–166
Citation in format AMSBIB
\Bibitem{Osi23}
\by A.~V.~Osipov
\paper Different kinds of tightness on the space of Baire-one functions
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2023
\vol 29
\issue 1
\pages 160--166
\mathnet{http://mi.mathnet.ru/timm1984}
\crossref{https://doi.org/10.21538/0134-4889-2023-29-1-160-166}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4582799}
\elib{https://elibrary.ru/item.asp?id=50358614}
\edn{https://elibrary.ru/jywizd}
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