On Locally Linearly Convex Domains
We construct a counterexample to the hypothesis on global linear convexity of locally linearly convex domains with everywhere smooth boundary. We refine the theorem on the topological classification of linearly convex domains with smooth boundary.
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| Datum: | 2002 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2002
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4063 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510194193137664 |
|---|---|
| author | Zelinskii, Yu. B. Зелинский, Ю. Б. Зелинский, Ю. Б. |
| author_facet | Zelinskii, Yu. B. Зелинский, Ю. Б. Зелинский, Ю. Б. |
| author_sort | Zelinskii, Yu. B. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:20:24Z |
| description | We construct a counterexample to the hypothesis on global linear convexity of locally linearly convex domains with everywhere smooth boundary. We refine the theorem on the topological classification of linearly convex domains with smooth boundary. |
| first_indexed | 2026-03-24T02:53:07Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4063 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:53:07Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/42/bfb28e7a85f4733fcdd5e8f61284a142.pdf |
| spelling | umjimathkievua-article-40632020-03-18T20:20:24Z On Locally Linearly Convex Domains О локально линейно выпуклых областях Zelinskii, Yu. B. Зелинский, Ю. Б. Зелинский, Ю. Б. We construct a counterexample to the hypothesis on global linear convexity of locally linearly convex domains with everywhere smooth boundary. We refine the theorem on the topological classification of linearly convex domains with smooth boundary. Побудовано контрприклад до гіпотези про глобальну лінійну опуклість локально лінійно опуклих областей з усюди гладкою межею. Уточнено теорему про топологічну класифікацію лінійно опуклих областей з гладкою межею. Institute of Mathematics, NAS of Ukraine 2002-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4063 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 2 (2002); 280-284 Український математичний журнал; Том 54 № 2 (2002); 280-284 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4063/4836 https://umj.imath.kiev.ua/index.php/umj/article/view/4063/4837 Copyright (c) 2002 Zelinskii Yu. B. |
| spellingShingle | Zelinskii, Yu. B. Зелинский, Ю. Б. Зелинский, Ю. Б. On Locally Linearly Convex Domains |
| title | On Locally Linearly Convex Domains |
| title_alt | О локально линейно выпуклых областях |
| title_full | On Locally Linearly Convex Domains |
| title_fullStr | On Locally Linearly Convex Domains |
| title_full_unstemmed | On Locally Linearly Convex Domains |
| title_short | On Locally Linearly Convex Domains |
| title_sort | on locally linearly convex domains |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4063 |
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