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.

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Bibliographic Details
Date:2004
Main Authors: Mykhailyuk, V. V., Михайлюк, В. В.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2004
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3848
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal