Deformations in the general position of the optimal functions on oriented surfaces with boundary

• Дата: 2019
• Автори: Hladysh, B. I., Prishlyak, O. O., Гладиш, Б. І., Пришляк, О. О.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2019
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1495
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 516.91 It is considered simple functions with non-degenerated singularities on smooth compact oriented surfaces with the boundary. Authors describe a connection between optimality and polarity of Morse functions, $m$-functions and $mm$-functions on smooth compact oriented connected surfaces. T...