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Centralizers and Iterate Radicals of Morse-Smale Diffeomorphisms of the Circle

Centralizers and Iterate Radicals of Morse-Smale Diffeomorphisms of the Circle
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摘要 In this paper,we will use the embedding flows in[1],[2]to give a complete descrip- tion of the smooth centralizers and iterate radicals of all C^r(r≥2)Morse-Smale diffeomorphisms of the circle S^1.As a result,we prove that every centralizer is a solvable subgroup of Diff^r(S^1). In this paper,we will use the embedding flows in[1],[2]to give a complete descrip- tion of the smooth centralizers and iterate radicals of all C^r(r≥2)Morse-Smale diffeomorphisms of the circle S^1.As a result,we prove that every centralizer is a solvable subgroup of Diff^r(S^1).
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 1995年第1期1-11,共11页 数学学报(英文版)
基金 Supported by the Natural Science Foundation of Tsinghua University.
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