Geodesic
A further investigation for Egoroff's theorem with respect to monotone set functions
Kybernetika, Tome 39 (2003) no. 6, pp. 753-760

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In this paper, we investigate Egoroff’s theorem with respect to monotone set function, and show that a necessary and sufficient condition that Egoroff’s theorem remain valid for monotone set function is that the monotone set function fulfill condition (E). Therefore Egoroff’s theorem for non-additive measure is formulated in full generality.
In this paper, we investigate Egoroff’s theorem with respect to monotone set function, and show that a necessary and sufficient condition that Egoroff’s theorem remain valid for monotone set function is that the monotone set function fulfill condition (E). Therefore Egoroff’s theorem for non-additive measure is formulated in full generality.
Classification : 06F05, 15A06, 26E25, 28A10, 28A20, 37M99, 93B25
Keywords: non-additive measure; monotone set function; condition (E); Egoroff's theorem 
Li, Jun. A further investigation for Egoroff's theorem with respect to monotone set functions. Kybernetika, Tome 39 (2003) no. 6, pp. 753-760. http://geodesic.mathdoc.fr/item/KYB_2003_39_6_a6/
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