Abstract
We study conditions under which universally measurable mappings from a separable topological space S into a metric space R belong to the class D of mappings f : S→R: such that for any compact subset K⊂S and number Ά > 0 there exists an open (in the induced topology) set V⊂K such that the oscillation ω(f;V) of an R-valued function f on V is less than Ά. Bibliography: 7 titles.
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References
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Reinov, O.I. Geometric Properties of Universally Measurable Mappings. Journal of Mathematical Sciences 105, 2436–2447 (2001). https://doi.org/10.1023/A:1011369314116
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DOI: https://doi.org/10.1023/A:1011369314116