Measurable relations
C. Himmelberg (1975)
Fundamenta Mathematicae
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C. Himmelberg (1975)
Fundamenta Mathematicae
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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.
C. Goffman, R. Zink (1960)
Fundamenta Mathematicae
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H. Ursell (1939)
Fundamenta Mathematicae
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B. Bongiorno, P. Vetro (1978)
Colloquium Mathematicae
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Miroslav Sova (1991)
Mathematica Bohemica
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Some notions of limit weaker than the topological one are studied.