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Geometric Properties of Universally Measurable Mappings |
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| Authors: | O. I. Reinov |
| 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  > 0 there exists an open (in the induced topology) set VK such that the oscillation  (f;V) of an R-valued function f on V is less than . Bibliography: 7 titles. |
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