10 citations · 10 across the 4 of their papers we have counts for
4 papers
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…
Gradient vector fields of codimension one on the 2-sphere with at most ten singular points
Svitlana Bilun, Bohdana Hladysh, Alexandr Prishlyak +1
We describe all possible topological structures of codimension one gradient vector fields on the shpere with at most ten singular points. To describe structures, we use a graph who…
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…
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…