Topological equivalence of pseudo-harmonic functions of general position in the plane

• Date: 2015
• Author Affiliations: В. В. Шарко — Інститут математики НАН України; Є. О. Полулях — Інститут математики НАН України; Ю. Ю. Сорока — Інститут математики НАН України
• Keywords: keywords
• Main Authors: Sharko, V. V., Polulyakh, Ye. O., Soroka, Yu. Yu., Шарко, В. В., Полулях, Є. О., Сорока, Ю. Ю.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2015
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/86
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

Topological classification of functions in the plane is considered. Using a generalization of the Cronrod-Reeb graph we give necessary and sufficient conditions when two pseudo-harmonic functions which have finite number of singular points and comply with an additional condition are topologically eq...