On a fiber bundle over a disk with the cantor set as a fiber
We construct a Pontryagin fiber bundle ξ = (N, p, S 1), the total space N of which cannot be imbedded into any two-dimensional oriented manifold but can be imbedded into an arbitrary nonoriented two-dimensional manifold.
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| Date: | 1997 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1997
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5158 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511360381616128 |
|---|---|
| author | Polulyakh, E. O. Полулях, Е. А. Полулях, Е. А. |
| author_facet | Polulyakh, E. O. Полулях, Е. А. Полулях, Е. А. |
| author_sort | Polulyakh, E. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:25:50Z |
| description | We construct a Pontryagin fiber bundle ξ = (N, p, S 1), the total space N of which cannot be imbedded into any two-dimensional oriented manifold but can be imbedded into an arbitrary nonoriented two-dimensional manifold. |
| first_indexed | 2026-03-24T03:11:39Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5158 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:11:39Z |
| publishDate | 1997 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e9/0fef372994e72d96cf878ccbe643d1e9.pdf |
| spelling | umjimathkievua-article-51582020-03-18T21:25:50Z On a fiber bundle over a disk with the cantor set as a fiber Об одном расслоении над окружностью со слоем канторово множество Polulyakh, E. O. Полулях, Е. А. Полулях, Е. А. We construct a Pontryagin fiber bundle ξ = (N, p, S 1), the total space N of which cannot be imbedded into any two-dimensional oriented manifold but can be imbedded into an arbitrary nonoriented two-dimensional manifold. Побудовано розшарування Понтрягіна ξ = (N, p, S 1) таке, що для його тотального простору N не існує вкладення ні в який двовимірний орієнтовний многовид, але існує вкладення в довільний неорієнтовиий двовимірний многовид. Institute of Mathematics, NAS of Ukraine 1997-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5158 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 11 (1997); 1567–1571 Український математичний журнал; Том 49 № 11 (1997); 1567–1571 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5158/7012 https://umj.imath.kiev.ua/index.php/umj/article/view/5158/7013 Copyright (c) 1997 Polulyakh E. O. |
| spellingShingle | Polulyakh, E. O. Полулях, Е. А. Полулях, Е. А. On a fiber bundle over a disk with the cantor set as a fiber |
| title | On a fiber bundle over a disk with the cantor set as a fiber |
| title_alt | Об одном расслоении над окружностью со слоем канторово множество |
| title_full | On a fiber bundle over a disk with the cantor set as a fiber |
| title_fullStr | On a fiber bundle over a disk with the cantor set as a fiber |
| title_full_unstemmed | On a fiber bundle over a disk with the cantor set as a fiber |
| title_short | On a fiber bundle over a disk with the cantor set as a fiber |
| title_sort | on a fiber bundle over a disk with the cantor set as a fiber |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5158 |
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