10 citations · 10 across the 3 of their papers we have counts for
3 papers
math.GT2023
Morse functions with four critical points on immersed 2-spheres
Svitlana Bilun, Bohdana Hladysh, Alexandr Prishlyak +1
We investigate topological properties of simple Morse functions with 4 critical points on immersed 2-spheres. To classify such functions, dual graph of immersion and Reeb graphs is…
math.GT2019
Topological structure of functions with isolated critical points on a 3-manifold
B. I. Hladysh, A. O. Prishlyak
To each isolated critical point of a smooth function on a 3-manifold we put in correspondence a tree (graph without cycles). We will prove that functions are topologically equivale…
math.GT2017★ 10 cited
Topology of Functions with Isolated Critical Points on the Boundary of a 2-Dimensional Manifold
Bohdana I. Hladysh, Aleksandr O. Prishlyak
This paper focuses on the problem of topological equivalence of functions with isolated critical points on the boundary of a compact surface which are also isolated critical po…