Supplemented spaces of the functions on the Peano continua
A description of the topology of the pair $(\tilde {C} (\Pi, I), C (\Pi, I))$ for the Peano continuum $\Pi$, where $\tilde {C} (\Pi, I)$ is the closure in the hyperspace ${\rm ехр} (\Pi \times I)$ of the image of the space of continuous functions $C (\Pi, I)$ under the natural embedding, is obtained...
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
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Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8164 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512944857546752 |
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| author | Bazilevich , L. E. Базилевич , Л. Є. |
| author_facet | Bazilevich , L. E. Базилевич , Л. Є. |
| author_sort | Bazilevich , L. E. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-02-26T13:58:10Z |
| description | A description of the topology of the pair $(\tilde {C} (\Pi, I), C (\Pi, I))$ for the Peano continuum $\Pi$, where $\tilde {C} (\Pi, I)$ is the closure in the hyperspace ${\rm ехр} (\Pi \times I)$ of the image of the space of continuous functions $C (\Pi, I)$ under the natural embedding, is obtained. |
| first_indexed | 2026-03-24T03:36:50Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8164 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T03:36:50Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/72/c825263b995083f9e076dd158805b472.pdf |
| spelling | umjimathkievua-article-81642024-02-26T13:58:10Z Supplemented spaces of the functions on the Peano continua Поповнені простори функцій на континуумах Пеано Bazilevich , L. E. Базилевич , Л. Є. - A description of the topology of the pair $(\tilde {C} (\Pi, I), C (\Pi, I))$ for the Peano continuum $\Pi$, where $\tilde {C} (\Pi, I)$ is the closure in the hyperspace ${\rm ехр} (\Pi \times I)$ of the image of the space of continuous functions $C (\Pi, I)$ under the natural embedding, is obtained. Получено описание топологии пары $(\tilde {C} (\Pi, I), {C} (\Pi, I))$ для пеановского континуума $\Pi$, где $\tilde {C} (\Pi, I)$ — замыкание в гиперпространстве ${\rm ехр} (\Pi \times I)$ образа пространства непрерывных функций ${C} (\Pi, I)$  при естественном вложении. Одержано опис топології пари $(\tilde {C} (\Pi, I), C (\Pi, I))$ для пеанівського континууму $\Pi$, де $\tilde {C} (\Pi, I)$ — замикання в гіперпросторі ${\rm ехр} (\Pi \times I)$ образу простору неперервних функцій $C (\Pi, I)$ при природному вкладенні. Institute of Mathematics, NAS of Ukraine 1992-10-07 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8164 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 9 (1992); 1165-1170 Український математичний журнал; Том 44 № 9 (1992); 1165-1170 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/8164/9688 Copyright (c) 1992 L. E. Bazilevich |
| spellingShingle | Bazilevich , L. E. Базилевич , Л. Є. Supplemented spaces of the functions on the Peano continua |
| title | Supplemented spaces of the functions on the Peano continua |
| title_alt | Поповнені простори функцій на континуумах Пеано |
| title_full | Supplemented spaces of the functions on the Peano continua |
| title_fullStr | Supplemented spaces of the functions on the Peano continua |
| title_full_unstemmed | Supplemented spaces of the functions on the Peano continua |
| title_short | Supplemented spaces of the functions on the Peano continua |
| title_sort | supplemented spaces of the functions on the peano continua |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8164 |
| work_keys_str_mv | AT bazilevichle supplementedspacesofthefunctionsonthepeanocontinua AT bazilevičlê supplementedspacesofthefunctionsonthepeanocontinua AT bazilevichle popovneníprostorifunkcíjnakontinuumahpeano AT bazilevičlê popovneníprostorifunkcíjnakontinuumahpeano |