Measure extension by local approximation
© 2017, Springer International Publishing AG. 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.
Measure extension by local approximation.
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5006