×

Note on the regularity of nonadditive measures. (English) Zbl 1397.28008

Summary: We consider the regularity for nonadditive measures. We prove that the non-additive measures which satisfy Egoroff’s theorem and have pseudometric generating property possess Radon property (strong regularity) on a complete or a locally compact, separable metric space.

MSC:

28E10 Fuzzy measure theory
28C15 Set functions and measures on topological spaces (regularity of measures, etc.)
28A33 Spaces of measures, convergence of measures
PDF BibTeX XML Cite
Full Text: DOI