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arXiv · 1702.01142

Measure extension by local approximation

Iosif Pinelis
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Abstract

Measurable sets are defined as those locally approximable, in a certain sense, by sets in the given algebra (or ring). A corresponding measure extension theorem is proved. It is also shown that a set is locally approximable in the mentioned sense if and only if it is Carath\'eodory-measurable.

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Iosif Pinelis. 2017-02-03. Measure extension by local approximation. https://arxiv.org/abs/1702.01142

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