Geodesic
Darboux property of a~non-additive set function
Sbornik. Mathematics, Tome 192 (2001) no. 7, pp. 969-978

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As is known, the range of a finite positive non-atomic measure on a $\sigma$-algebra is a closed interval. In the present paper it is proved that this property holds also in a broad class of non-additive set functions on an $F$-algebra if the non-atomicity is replaced by the Saks property. 
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     title = {Darboux property of a~non-additive set function},
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V. M. Klimkin; M. G. Svistula. Darboux property of a~non-additive set function. Sbornik. Mathematics, Tome 192 (2001) no. 7, pp. 969-978. http://geodesic.mathdoc.fr/item/SM_2001_192_7_a2/