On Carathéodory type selections
L. Rybiński (1985)
Fundamenta Mathematicae
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L. Rybiński (1985)
Fundamenta Mathematicae
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C. Himmelberg, T. Parthasarathy, F. Van Vleck (1981)
Fundamenta Mathematicae
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Wojciech Zygmunt (1994)
Commentationes Mathematicae Universitatis Carolinae
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It is shown that product weakly measurable lower weak semi-Carathéodory multifunction is superpositionally measurable.
C. Himmelberg (1975)
Fundamenta Mathematicae
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Wojciech Zygmunt (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Marcin Kysiak (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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We show that for a wide class of σ-algebras 𝓐, indicatrices of 𝓐-measurable functions admit the same characterization as indicatrices of Lebesgue-measurable functions. In particular, this applies to functions measurable in the sense of Marczewski.
A. Maitra, B. V. Rao (1979)
Colloquium Mathematicae
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