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

• Date: 1995
• Main Authors: Maslyuchenko, V. K., Mykhailyuk, V. V., Маслюченко, В. К., Михайлюк, В. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5423
• Journal Title: 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...