2 papers
math.DS2023
Structures of the flows with a unique singular point on the 2-dimensional disk
Alexandr Prishlyak, Serhii Stas
We investigate topological propeties of flows with one singular point and without closed orbits on the 2-dimensional disk. To classify such flows, destingueshed graph is used, whic…
math.GT2023
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…