Uniform Continuity of a Family of Weakly Regular Set Functions on Topological Spaces
Matematičeskie zametki, Tome 74 (2003) no. 1, pp. 60-68

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Conditions for the uniform continuity of a family of weakly regular set functions defined on an algebra $\Sigma\supset\eta$ of subsets of a $\sigma$-topological space $(T,\eta)$ and taking values in an arbitrary topological space are found.
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V. M. Klimkin; T. A. Sribnaya. Uniform Continuity of a Family of Weakly Regular Set Functions on Topological Spaces. Matematičeskie zametki, Tome 74 (2003) no. 1, pp. 60-68. http://geodesic.mathdoc.fr/item/MZM_2003_74_1_a6/