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 ⊂ Rᵐ into R²ᵐ⁻¹, m is odd, is presented. As an application, the intersection number of an immersion g : Sᵐ⁻¹ (r) → R²ᵐ⁻² is described as the algebraic number of cros...
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2018 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188361 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Cross-cap singularities counted with sign / I. Krzyzanowska // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 257–268. — Бібліогр.: 11 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862634466632007680 |
|---|---|
| author | Krzyzanowska, I. |
| author_facet | Krzyzanowska, I. |
| citation_txt | Cross-cap singularities counted with sign / I. Krzyzanowska // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 257–268. — Бібліогр.: 11 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | A method for computing the algebraic number of cross-cap singularities for mapping from m-dimensional compact manifold with boundary M ⊂ Rᵐ into R²ᵐ⁻¹, m is odd, is presented. As an application, the intersection number of an immersion g : Sᵐ⁻¹ (r) → R²ᵐ⁻² is described as the algebraic number of cross-caps of a mapping naturally associated with g.
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| first_indexed | 2025-11-30T16:16:06Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188361 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-30T16:16:06Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Krzyzanowska, I. 2023-02-25T14:57:38Z 2023-02-25T14:57:38Z 2018 Cross-cap singularities counted with sign / I. Krzyzanowska // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 257–268. — Бібліогр.: 11 назв. — англ. 1726-3255 2010 MSC: 14P25, 57R45, 57R42, 12Y05 https://nasplib.isofts.kiev.ua/handle/123456789/188361 A method for computing the algebraic number of cross-cap singularities for mapping from m-dimensional compact manifold with boundary M ⊂ Rᵐ into R²ᵐ⁻¹, m is odd, is presented. As an application, the intersection number of an immersion g : Sᵐ⁻¹ (r) → R²ᵐ⁻² is described as the algebraic number of cross-caps of a mapping naturally associated with g. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Cross-cap singularities counted with sign Article published earlier |
| spellingShingle | Cross-cap singularities counted with sign Krzyzanowska, I. |
| title | 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_short | Cross-cap singularities counted with sign |
| title_sort | cross-cap singularities counted with sign |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188361 |
| work_keys_str_mv | AT krzyzanowskai crosscapsingularitiescountedwithsign |