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MATHEMATICA BOHEMICA, Vol. 126, No. 1, pp. 113-117 (2001)
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# Monotone approximation of measurable multifunctions by simple multifunctions

## Beata Kubis

* Beata Kubis*, Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, e-mail: ` potaczek@gate.math.us.edu.pl`

**Abstract:**
We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.

**Keywords:** measurable multifunction, Marczewski function, Vietoris topology, simple multifunction

**Classification (MSC2000):** 26E25, 28A20, 54C60

**Full text of the article:**

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