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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
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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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