On superpositionally measurable multifunctions
Andrzej Spakowski (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Andrzej Spakowski (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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Beata Kubiś (2001)
Mathematica Bohemica
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We investigate the problem of approximation of measurable multifunctions by monotone sequences of measurable simple ones. Our main tool is the Marczewski function, i.e., the characteristic function of a sequence of sets.
Andrzej Nowak, Celina Rom (2006)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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Let F be a multifunction from a metric space X into L¹, and B a subset of X. We give sufficient conditions for the existence of a measurable selector of F which is continuous at every point of B. Among other assumptions, we require the decomposability of F(x) for x ∈ B.
Wojciech Zygmunt (1988)
Rendiconti del Seminario Matematico della Università di Padova
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C. J. Himmelberg, F. S. Van Vleck (1972)
Rendiconti del Seminario Matematico della Università di Padova
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