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This subtopic studies set functions and measures with values in abstract spaces, extending measure-theoretic ideas beyond real-valued settings.
28B05 studies vector-valued set functions, measures and integrals in set functions and measures with values in abstract spaces. It studies measures and set functions taking values in vector spaces or other abstract targets rather than the real line.
Set Functions And Measures With Values In Abstract Spaces (Wikipedia)
Used in vector-measure theory, Banach-space methods, and abstract integration.
28B10 studies group- or semigroup-valued set functions and measures in set functions and measures with values in abstract spaces. It studies measures and set functions taking values in vector spaces or other abstract targets rather than the real line.
Set Functions And Measures With Values In Abstract Spaces (Wikipedia)
Used in vector-measure theory, Banach-space methods, and abstract integration.
28B15 studies set functions and measures with values in ordered spaces in set functions and measures with values in abstract spaces. It studies measures and set functions taking values in vector spaces or other abstract targets rather than the real line.
Set Functions And Measures With Values In Abstract Spaces (Wikipedia)
Used in vector-measure theory, Banach-space methods, and abstract integration.
28B20 studies set-valued set functions and measures; integration of set-valued functions in set functions and measures with values in abstract spaces. It studies measures and set functions taking values in vector spaces or other abstract targets rather than the real line.
Set Functions And Measures With Values In Abstract Spaces (Wikipedia)
Used in vector-measure theory, Banach-space methods, and abstract integration.