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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 10, pp. 1357 – 1368, October, 2004.
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Mykhailyuk, V.V. Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates. Ukr Math J 56, 1619–1632 (2004). https://doi.org/10.1007/s11253-005-0138-2
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DOI: https://doi.org/10.1007/s11253-005-0138-2