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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| 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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