Topological structure of Morse functions on the projective plane

Autor:	Bilun, Svitlana, Prishlyak, Alexandr, Stas, Serhii, Vlasenko, Alina
Rok vydání:	2023
Předmět:	Mathematics - Geometric Topology 57R45 57R70 58C27 G.1.7
Druh dokumentu:	Working Paper
Popis:	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 invariant of simple Morse function on $\mathbb{R} P^2$. We prove recurent formulas for the number of Reeb graphs with the given number of sadles (vertex). Comment: 8 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.03850 Zobrazit plný text záznamu View this record from Arxiv