Construction of a separately continuous function with given oscillation

• Дата: 1998
• Автори: Maslyuchenko, V. K., Maslyuchenko, O. V., Маслюченко, В. К., Маслюченко, О. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1998
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/4875
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...