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Some properties of step-functions connected with extensions of measures

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Topics in Measure Theory and Real Analysis

Part of the book series: Atlantis Studies in Mathematics ((ATLANTISSM,volume 2))

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Abstract

In this chapter we again will be concerned with the measure extension problem and will present one more application of Theorem 2 from Chapter 2. Primarily, we will be dealing here with certain measurability properties of the simplest real-valued functions - the socalled real-valued step-functions.

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© 2009 Atlantis Press/World Scientific

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Kharazishvili, A.B. (2009). Some properties of step-functions connected with extensions of measures. In: Topics in Measure Theory and Real Analysis. Atlantis Studies in Mathematics, vol 2. Atlantis Press. https://doi.org/10.2991/978-94-91216-36-7_6

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