Cross-cap singularities counted with sign
A method for computing the algebraic number of cross-cap singularities for mapping from \(m\)-dimensional compact manifold with boundary \(M\subset \mathbb{R}^m\) into \(\mathbb{R}^{2m-1}\), \(m\) is odd, is presented. As an application, the intersection number of an immersion \(g\colon S^{m-1}(r)\t...
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/32 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-32 |
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oai:ojs.admjournal.luguniv.edu.ua:article-322018-07-24T22:56:15Z Cross-cap singularities counted with sign Krzyzanowska, Iwona cross-cap, immersion, Stiefel manifold, intersection number, signature 14P25, 57R45, 57R42, 12Y05 A method for computing the algebraic number of cross-cap singularities for mapping from \(m\)-dimensional compact manifold with boundary \(M\subset \mathbb{R}^m\) into \(\mathbb{R}^{2m-1}\), \(m\) is odd, is presented. As an application, the intersection number of an immersion \(g\colon S^{m-1}(r)\to\mathbb{R}^{2m-2}\) is described as the algebraic number of cross-caps of a mapping naturally associated with \(g\). Lugansk National Taras Shevchenko University 2018-07-25 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/32 Algebra and Discrete Mathematics; Vol 25, No 2 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/32/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/32/390 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
cross-cap immersion Stiefel manifold intersection number signature 14P25 57R45 57R42 12Y05 |
| spellingShingle |
cross-cap immersion Stiefel manifold intersection number signature 14P25 57R45 57R42 12Y05 Krzyzanowska, Iwona Cross-cap singularities counted with sign |
| topic_facet |
cross-cap immersion Stiefel manifold intersection number signature 14P25 57R45 57R42 12Y05 |
| format |
Article |
| author |
Krzyzanowska, Iwona |
| author_facet |
Krzyzanowska, Iwona |
| author_sort |
Krzyzanowska, Iwona |
| title |
Cross-cap singularities counted with sign |
| title_short |
Cross-cap singularities counted with sign |
| title_full |
Cross-cap singularities counted with sign |
| title_fullStr |
Cross-cap singularities counted with sign |
| title_full_unstemmed |
Cross-cap singularities counted with sign |
| title_sort |
cross-cap singularities counted with sign |
| description |
A method for computing the algebraic number of cross-cap singularities for mapping from \(m\)-dimensional compact manifold with boundary \(M\subset \mathbb{R}^m\) into \(\mathbb{R}^{2m-1}\), \(m\) is odd, is presented. As an application, the intersection number of an immersion \(g\colon S^{m-1}(r)\to\mathbb{R}^{2m-2}\) is described as the algebraic number of cross-caps of a mapping naturally associated with \(g\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/32 |
| work_keys_str_mv |
AT krzyzanowskaiwona crosscapsingularitiescountedwithsign |
| first_indexed |
2024-04-12T06:26:10Z |
| last_indexed |
2024-04-12T06:26:10Z |
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1796109219402874880 |