1 citations · 2 across the 19 of their papers we have counts for
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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…
Topological structure of Morse functions on the projective plane
Svitlana Bilun, Alexandr Prishlyak, Serhii Stas +1
To investigate the topological structure of Morse functions on the projective plane we use the Reeb graphs. We describe it properties and prove that it is a complete topological in…
Visualization of Morse flow with two saddles on 3-sphere diagrams
Svitlana Bilun, Alexandr Prishlyak
We describe all possible topological structures of Morse-Smale flows without closed trajectories on a three-dimensional sphere, which have two sources, two sinks, one saddle of Mor…
Morse flows with fixed points on the boundary of 3-manifold
Svitlana Bilun, Alexandr Prishlyak, Andrii Prus
The paper is devoted to the study of topological properties, structure and classification of Morse flows with fixed points on the boundary of three-dimensional manifolds. We constr…
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…
Topological equivalence of smooth functions with isolated critical points on a closed surfaces
Alexander O. Prishlyak
We consider functions with isolated critical points on a closed surface. We prove that in a neighborhood of a critical point the function conjugates with Re for the some nonne…