Measure extension by local approximation

Authors

Iosif Pinelis, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

3-2018

Department

Department of Mathematical Sciences

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 Carathéodory-measurable.

Publication Title

Positivity

Recommended Citation

Pinelis, I. (2018). Measure extension by local approximation. Positivity, 22(1), 199-208. http://doi.org/10.1007/s11117-017-0507-8
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5006