Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates

  • V. V. Mykhailyuk

Abstract

We investigate necessary and sufficient conditions on topological products X = ∏s ∈ s X s and Y = ∏t ∈ T Y t for every separately continuous function f: X × Y → ℝ to be dependent on at most ℵ coordinates with respect to a certain coordinate.
Published
25.10.2004
How to Cite
MykhailyukV. V. “Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 10, Oct. 2004, pp. 1357-69, https://umj.imath.kiev.ua/index.php/umj/article/view/3848.
Section
Research articles