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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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2004
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3848 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860509982141710336 |
|---|---|
| author | Mykhailyuk, V. V. Михайлюк, В. В. |
| author_facet | Mykhailyuk, V. V. Михайлюк, В. В. |
| author_sort | Mykhailyuk, V. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:12:30Z |
| description | 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. |
| first_indexed | 2026-03-24T02:49:45Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3848 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:49:45Z |
| publishDate | 2004 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b7/98540b8bd3a02e8212a46e82a5e50cb7.pdf |
| spelling | umjimathkievua-article-38482020-03-18T20:12:30Z Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates Нарізно неперервні функції на добутках і їх залежність від ℵ координат Mykhailyuk, V. V. Михайлюк, В. В. 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. Досліджуються необхідні і достатні умови па топологічні добутки X = ∏s ∈ s X s and Y = ∏t ∈ T Y t для того, щоб кожна нарізно неперервна функція f: X × Y → ℝ залежала не більше ніж від ℵ координат відносно тієї чи іншої змінної. Institute of Mathematics, NAS of Ukraine 2004-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3848 Ukrains’kyi Matematychnyi Zhurnal; Vol. 56 No. 10 (2004); 1357-1369 Український математичний журнал; Том 56 № 10 (2004); 1357-1369 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3848/4415 https://umj.imath.kiev.ua/index.php/umj/article/view/3848/4416 Copyright (c) 2004 Mykhailyuk V. V. |
| spellingShingle | Mykhailyuk, V. V. Михайлюк, В. В. Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates |
| title | Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates |
| title_alt | Нарізно неперервні функції на добутках і їх залежність від ℵ координат |
| title_full | Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates |
| title_fullStr | Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates |
| title_full_unstemmed | Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates |
| title_short | Separately Continuous Functions on Products and Their Dependence on ℵ Coordinates |
| title_sort | separately continuous functions on products and their dependence on ℵ coordinates |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3848 |
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