On the number of topologically non-equivalent functions with one degenerate saddle critical point on two-dimensional sphere, II

In this paper we consider the smooth functions with three critical values on two-dimensional sphere $S^2$, that possess only one (degenerate) saddle critical point in addition to $M$ local maxima and $m$ local minima. For any natural $M$ and $m$ we calculate the number of topologically non-equivalen...

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Bibliographic Details
Main Author: Александр Анатольевич Кадубовский
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2015-09-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:http://journals.uran.ua/geometry/article/view/50155