Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates
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.
English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 10, pp 1619-1632.
Citation Example: Mykhailyuk V. V. Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates // Ukr. Mat. Zh. - 2004. - 56, № 10. - pp. 1357-1369.