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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 9(100), Pages 61–69 (Mi vsgu100)  

Mathematics

Uniform exhaustivity of a family of regular set functions on topological spaces

T. A. Sribnaya

Dept. of Functional Analysis and Theory of Functions, Samara State University, Samara, 443011, Russian Federation (published under the terms of the Creative Commons Attribution 4.0 International License)
References:
Abstract: Conditions for the uniform exhaustivity of a family of regular set functions defined on an algebra $\Sigma$ of subsets of a $\sigma$-topological space and taking values in arbitrary topological space are found.
Keywords: regular set functions, $\sigma$-topological space, uniformly exhaustive set functions, uniformly quasi-triangular set functions, composition set functions, outer measures, additive set functions.
Received: 05.03.2012
Revised: 05.03.2012
Bibliographic databases:
Document Type: Article
UDC: 517.987
Language: Russian
Citation: T. A. Sribnaya, “Uniform exhaustivity of a family of regular set functions on topological spaces”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 9(100), 61–69
Citation in format AMSBIB
\Bibitem{Sri12}
\by T.~A.~Sribnaya
\paper Uniform exhaustivity of a~family of regular set functions on topological spaces
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 9(100)
\pages 61--69
\mathnet{http://mi.mathnet.ru/vsgu100}
\elib{https://elibrary.ru/item.asp?id=18829865}
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    Вестник Самарского государственного университета. Естественнонаучная серия
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    References:25
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