Separately continuous functions on products of compact sets and their dependence on $\mathfrak{n}$ variables

• Дата: 1995
• Автори: Maslyuchenko, V. K., Mykhailyuk, V. V., Маслюченко, В. К., Михайлюк, В. В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1995
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5423
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

By using the theorem on the density of the topological product and the generalized theorem on the dependence of a continuous function defined on a product of spaces on countably many coordinates, we show that every separately continuous function defined on a product of two spaces representable as pr...