Topological classification of morse polynomials

被引：4
|
作者：
Arnold, V. I. [1 ]
机构：
[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2010年 / 268卷 / 01期
关键词：
Saddle Point; STEKLOV Institute; Triple Point; Trigonometric Polynomial; Level Line;
D O I：
10.1134/S0081543810010049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The topological classification is discussed for real polynomials of degree 4 in two real independent variables whose critical points and critical values are all different. It is proved that among the 17 746 topological types of smooth functions with the same number of critical points, at most 426 types are realizable by polynomials of degree 4.
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页码：32 / 48
页数：17
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