Topology of Functions with Isolated Critical Points on the Boundary of a 2-Dimensional Manifold

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2017
• ISSN: 1815-0659
• Main Authors: Hladysh, B.I., Prishlyak, A.O.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148582
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 to...