Separately continuous functions on products and their dependence on א coordinates

被引：0

作者：

Mykhailyuk V.V. ^{[1
]}

机构：

[1] Chernivtsi National University, Chernivtsi

来源：

Ukrainian Mathematical Journal | 2004年 / 56卷 / 10期

关键词：

Continuous Function; Topological Product;

D O I：

10.1007/s11253-005-0138-2

中图分类号：

学科分类号：

摘要：

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. © 2005 Springer Science+Business Media, Inc.

引用

页码：1619 / 1632

页数：13

共 5 条

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[3]

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[4]

Maslyuchenko V.K., Mykhailyuk V.V., Separately continuous functions on products of compact sets and their dependence on n variables, Ukr. Mat. Zh., 47, 3, pp. 344-350, (1995)

[5]

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