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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 6(97), Pages 58–65
(Mi vsgu31)
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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Uniform exhaustivity criteria of a family of vector outer measures
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)
Abstract:
The uniform exhaustivity criteria are proved for a sequence of exhaustive outer measures defined on the non-sigma-complete class of sets and taking values in an Abelian topological group.
Keywords:
outer measure, uniform exhaustivity of a family of set functions, multiplicative class of sets, $f_1$-property.
Received: 05.03.2012 Accepted: 05.03.2012
Citation:
T. A. Sribnaya, “Uniform exhaustivity criteria of a family of vector outer measures”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 6(97), 58–65
Linking options:
https://www.mathnet.ru/eng/vsgu31 https://www.mathnet.ru/eng/vsgu/y2012/i6/p58
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