T. A. Sribnaya, “Uniform exhaustivity criteria of a family of vector outer measures”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, Issue 6(97),Pages <nobr>58

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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

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.

UDC: 517.987

Received: 05.03.2012
Accepted: 05.03.2012