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

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...

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Bibliographic Details
Date:2015
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
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine