Dependence of separately continuous functions on n coordinates on products of compact sets
We investigate the problem of the dependence of separately continuous functions on n coordinates on products of spaces each of which is a topological product. In the case where X and Y are products of completely regular countably compact spaces, we establish necessary and sufficient conditions for s...
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| Datum: | 1998 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1998
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4893 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511073156726784 |
|---|---|
| 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 | 2020-03-18T21:16:32Z |
| description | We investigate the problem of the dependence of separately continuous functions on n coordinates on products of spaces each of which is a topological product. In the case where X and Y are products of completely regular countably compact spaces, we establish necessary and sufficient conditions for such a dependence. |
| first_indexed | 2026-03-24T03:07:05Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4893 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:07:05Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/69/100bc269ddf99dc4d473d2d5f7a2bd69.pdf |
| spelling | umjimathkievua-article-48932020-03-18T21:16:32Z Dependence of separately continuous functions on n coordinates on products of compact sets Залежність від $n$ координат нарізно неперервних функцій на добутках компактів Mykhailyuk, V. V. Михайлюк, В. В. We investigate the problem of the dependence of separately continuous functions on n coordinates on products of spaces each of which is a topological product. In the case where X and Y are products of completely regular countably compact spaces, we establish necessary and sufficient conditions for such a dependence. Досліджуються питання залежності від $n$ координат нарізно неперервних функцій на добутках просторів, кожен з яких є топологічним добутком. У випадку, коли $X$ і $Y$ є добутками цілком регулярних зліченно компактних просторів, встановлюються необхідні і достатні умови для такої залежності. Institute of Mathematics, NAS of Ukraine 1998-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4893 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 6 (1998); 822–829 Український математичний журнал; Том 50 № 6 (1998); 822–829 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4893/6485 https://umj.imath.kiev.ua/index.php/umj/article/view/4893/6486 Copyright (c) 1998 Mykhailyuk V. V. |
| spellingShingle | Mykhailyuk, V. V. Михайлюк, В. В. Dependence of separately continuous functions on n coordinates on products of compact sets |
| title | Dependence of separately continuous functions on n coordinates on products of compact sets |
| title_alt | Залежність від $n$ координат нарізно неперервних функцій на добутках компактів |
| title_full | Dependence of separately continuous functions on n coordinates on products of compact sets |
| title_fullStr | Dependence of separately continuous functions on n coordinates on products of compact sets |
| title_full_unstemmed | Dependence of separately continuous functions on n coordinates on products of compact sets |
| title_short | Dependence of separately continuous functions on n coordinates on products of compact sets |
| title_sort | dependence of separately continuous functions on n coordinates on products of compact sets |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4893 |
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