The Bing plane and separately continuous mappings (in Ukrainian)
We prove that the Bing plane $mathbb{B}$ is a$sigma$-metrizable but not strongly $sigma$-metrizable. Alsowe show that for $c$-connected topological spaces $X$ and $Y$each separately continuous function $fcolon Ximes Yomathbb{B}$ is constant.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | German |
| Published: |
Ivan Franko National University of Lviv
2012-11-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/texts/2012/38_2/188-193.pdf |
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| _version_ | 1839598413329465344 |
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| author | O. O. Karlova V. K. Maslyuchenko O. D. Myronyk |
| author_facet | O. O. Karlova V. K. Maslyuchenko O. D. Myronyk |
| author_sort | O. O. Karlova |
| collection | DOAJ |
| description | We prove that the Bing plane $mathbb{B}$ is a$sigma$-metrizable but not strongly $sigma$-metrizable. Alsowe show that for $c$-connected topological spaces $X$ and $Y$each separately continuous function $fcolon Ximes Yomathbb{B}$ is constant. |
| format | Article |
| id | doaj-art-af90e56f4c134d1f89e4f98a8e66f5a9 |
| institution | Matheson Library |
| issn | 1027-4634 |
| language | deu |
| publishDate | 2012-11-01 |
| publisher | Ivan Franko National University of Lviv |
| record_format | Article |
| series | Математичні Студії |
| spelling | doaj-art-af90e56f4c134d1f89e4f98a8e66f5a92025-08-02T16:49:22ZdeuIvan Franko National University of LvivМатематичні Студії1027-46342012-11-01382188193The Bing plane and separately continuous mappings (in Ukrainian)O. O. KarlovaV. K. MaslyuchenkoO. D. MyronykWe prove that the Bing plane $mathbb{B}$ is a$sigma$-metrizable but not strongly $sigma$-metrizable. Alsowe show that for $c$-connected topological spaces $X$ and $Y$each separately continuous function $fcolon Ximes Yomathbb{B}$ is constant.http://matstud.org.ua/texts/2012/38_2/188-193.pdfseparately continuous functionthe Bing planeσ -metrizable spacescontinuum |
| spellingShingle | O. O. Karlova V. K. Maslyuchenko O. D. Myronyk The Bing plane and separately continuous mappings (in Ukrainian) Математичні Студії separately continuous function the Bing plane σ -metrizable spaces continuum |
| title | The Bing plane and separately continuous mappings (in Ukrainian) |
| title_full | The Bing plane and separately continuous mappings (in Ukrainian) |
| title_fullStr | The Bing plane and separately continuous mappings (in Ukrainian) |
| title_full_unstemmed | The Bing plane and separately continuous mappings (in Ukrainian) |
| title_short | The Bing plane and separately continuous mappings (in Ukrainian) |
| title_sort | bing plane and separately continuous mappings in ukrainian |
| topic | separately continuous function the Bing plane σ -metrizable spaces continuum |
| url | http://matstud.org.ua/texts/2012/38_2/188-193.pdf |
| work_keys_str_mv | AT ookarlova thebingplaneandseparatelycontinuousmappingsinukrainian AT vkmaslyuchenko thebingplaneandseparatelycontinuousmappingsinukrainian AT odmyronyk thebingplaneandseparatelycontinuousmappingsinukrainian AT ookarlova bingplaneandseparatelycontinuousmappingsinukrainian AT vkmaslyuchenko bingplaneandseparatelycontinuousmappingsinukrainian AT odmyronyk bingplaneandseparatelycontinuousmappingsinukrainian |