# A further investigation for Egoroff's theorem with respect to monotone set functions

Kybernetika (2003)

- Volume: 39, Issue: 6, page [753]-760
- ISSN: 0023-5954

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topLi, Jun. "A further investigation for Egoroff's theorem with respect to monotone set functions." Kybernetika 39.6 (2003): [753]-760. <http://eudml.org/doc/33679>.

@article{Li2003,

abstract = {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.},

author = {Li, Jun},

journal = {Kybernetika},

keywords = {non-additive measure; monotone set function; condition (E); Egoroff's theorem; non-additive measure; monotone set function; condition (E); Egoroff's theorem},

language = {eng},

number = {6},

pages = {[753]-760},

publisher = {Institute of Information Theory and Automation AS CR},

title = {A further investigation for Egoroff's theorem with respect to monotone set functions},

url = {http://eudml.org/doc/33679},

volume = {39},

year = {2003},

}

TY - JOUR

AU - Li, Jun

TI - A further investigation for Egoroff's theorem with respect to monotone set functions

JO - Kybernetika

PY - 2003

PB - Institute of Information Theory and Automation AS CR

VL - 39

IS - 6

SP - [753]

EP - 760

AB - 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.

LA - eng

KW - non-additive measure; monotone set function; condition (E); Egoroff's theorem; non-additive measure; monotone set function; condition (E); Egoroff's theorem

UR - http://eudml.org/doc/33679

ER -

## References

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