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arXiv:1702.01142 [math.CA]AbstractReferencesReviewsResources

Measure extension by local approximation

Iosif Pinelis

Published 2017-02-03Version 1

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.

Comments: 8 pages
Categories: math.CA
Subjects: 28A12, 60A10
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