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Construction of a separately continuous function with given oscillation

We investigate the problem of construction of a separately continuous function f whose oscillation is equal to a given nonnegative function g. We show that, in the case of a metrizable Baire product, the problem under consideration is solvable if and only if g is upper semicontinuous and its support...

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Bibliographic Details
Date:	1998
Main Authors:	Maslyuchenko, V. K., Maslyuchenko, O. V., Маслюченко, В. К., Маслюченко, О. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1998
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4875
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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