On the continuity of certain non-additive set functions

DOI10.4064/cm-38-2-243-253zbMath0398.28003OpenAlexW838419111MaRDI QIDQ4182951

Drewnowski, Lech

Publication date: 1978

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-38-2-243-253

zbMATH Keywords

Extension Theorem for D- SubmeasuresNonadditive Set FunctionsQuasilipschitzian Set FunctionSubmeasures

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10)

Related Items (13)

On vector-valued Dobrakov submeasures ⋮ The range of null-additive fuzzy and non-fuzzy measures ⋮ Lebesgue decomposition by \(\sigma\)-null-additive set functions using ideals ⋮ Lebesgue and Saks decompositions of \(\sigma\)-finite fuzzy measures ⋮ Pseudo-atoms of fuzzy and non-fuzzy measures ⋮ Unnamed Item ⋮ Dieudonné's theorem for non-additive set functions ⋮ Autocontinuity of set-valued fuzzy measures and applications ⋮ Unnamed Item ⋮ Lebesgue and Saks decompositions of \(\perp\)-decomposable measures ⋮ Pseudometric generating property and autocontinuity of fuzzy measures ⋮ Semilattices, canonical embeddings and representing measures ⋮ On nonatomicity for non-additive functions

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