Construction of Separately Continuous Functions with Given Restriction

• Date: 2003
• Main Authors: Mykhailyuk, V. V., Михайлюк, В. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3947
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We solve the problem of the construction of separately continuous functions on a product of two topological spaces with given restriction. It is shown, in particular, that, for an arbitrary topological space X and a function g: X → R of the first Baire class, there exists a separately continuous fun...