Topology of Functions with Isolated Critical Points on the Boundary of a 2-Dimensional Manifold
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Topology of Functions with Isolated Critical Points on the Boundary of a 2-Dimensional Manifold
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| Creator |
Hladysh, B.I.
Prishlyak, A.O. |
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| Description |
This paper focuses on the problem of topological equivalence of functions with isolated critical points on the boundary of a compact surface M which are also isolated critical points of their restrictions to the boundary. This class of functions we denote by Ω(M). Firstly, we've obtained the topological classification of above-mentioned functions in some neighborhood of their critical points. Secondly, we've constructed a chord diagram from the neighborhood of a critical level. Also the minimum number of critical points of such functions is being considered. And finally, the criterion of global topological equivalence of functions which belong to Ω(M) and have three critical points has been developed.
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| Date |
2019-02-18T16:14:02Z
2019-02-18T16:14:02Z 2017 |
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| Type |
Article
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| Identifier |
Topology of Functions with Isolated Critical Points on the Boundary of a 2-Dimensional Manifold / B.I. Hladysh, A.O. Prishlyak // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 19 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 57R45; 57R70 DOI:10.3842/SIGMA.2017.050 http://dspace.nbuv.gov.ua/handle/123456789/148582 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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