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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.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…