Geometric Form of the Hahn–Banach Theorem for Generalized Convexity
We investigate a class of compact sets convex with respect to a certain family of planes. For compact sets that satisfy the condition of acyclicity of sections by a certain collection of two-dimensional planes, we prove their generalized convexity.
Збережено в:
| Дата: | 2003 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/3906 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510037150007296 |
|---|---|
| author | Momot, I. V. Момот, И. В. Момот, И. В. |
| author_facet | Momot, I. V. Момот, И. В. Момот, И. В. |
| author_sort | Momot, I. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:14:50Z |
| description | We investigate a class of compact sets convex with respect to a certain family of planes. For compact sets that satisfy the condition of acyclicity of sections by a certain collection of two-dimensional planes, we prove their generalized convexity. |
| first_indexed | 2026-03-24T02:50:37Z |
| format | Article |
| fulltext |
0140
0141
0142
0143
|
| id | umjimathkievua-article-3906 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:50:37Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/49/6c0afe0392eaadd04733b466fd6e9249.pdf |
| spelling | umjimathkievua-article-39062020-03-18T20:14:50Z Geometric Form of the Hahn–Banach Theorem for Generalized Convexity Геометрическая форма теоремы Хана - Банаха для обобщенной выпуклости Momot, I. V. Момот, И. В. Момот, И. В. We investigate a class of compact sets convex with respect to a certain family of planes. For compact sets that satisfy the condition of acyclicity of sections by a certain collection of two-dimensional planes, we prove their generalized convexity. Досліджено клас компактів, опуклих відносно деякої сім'ї площин. Для компактів, що задовольняють умову ациклічпості перерізів деяким набором двовимірних площин, доведено їх узагальнену опуклість. Institute of Mathematics, NAS of Ukraine 2003-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3906 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 2 (2003); 284=287 Український математичний журнал; Том 55 № 2 (2003); 284=287 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3906/4527 https://umj.imath.kiev.ua/index.php/umj/article/view/3906/4528 Copyright (c) 2003 Momot I. V. |
| spellingShingle | Momot, I. V. Момот, И. В. Момот, И. В. Geometric Form of the Hahn–Banach Theorem for Generalized Convexity |
| title | Geometric Form of the Hahn–Banach Theorem for Generalized Convexity |
| title_alt | Геометрическая форма теоремы Хана - Банаха для обобщенной выпуклости |
| title_full | Geometric Form of the Hahn–Banach Theorem for Generalized Convexity |
| title_fullStr | Geometric Form of the Hahn–Banach Theorem for Generalized Convexity |
| title_full_unstemmed | Geometric Form of the Hahn–Banach Theorem for Generalized Convexity |
| title_short | Geometric Form of the Hahn–Banach Theorem for Generalized Convexity |
| title_sort | geometric form of the hahn–banach theorem for generalized convexity |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3906 |
| work_keys_str_mv | AT momotiv geometricformofthehahnbanachtheoremforgeneralizedconvexity AT momotiv geometricformofthehahnbanachtheoremforgeneralizedconvexity AT momotiv geometricformofthehahnbanachtheoremforgeneralizedconvexity AT momotiv geometričeskaâformateoremyhanabanahadlâobobŝennojvypuklosti AT momotiv geometričeskaâformateoremyhanabanahadlâobobŝennojvypuklosti AT momotiv geometričeskaâformateoremyhanabanahadlâobobŝennojvypuklosti |