Kronrod–Reeb Graphs of Functions on Noncompact Two-Dimensional Surfaces. I

• Дата: 2015
• Автори: Polulyakh, E. O., Полулях, Е. А.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2015
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/1990
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider continuous functions on two-dimensional surfaces satisfying the following conditions: they have a discrete set of local extrema; if a point is not a local extremum, then there exist its neighborhood and a number $n ∈ ℕ$ such that a function restricted to this neighborhood is topologicall...