A simple proof of P. Carter's theorem

被引：10
|
作者：
Guillou, L
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 05期
关键词：
Poincare-Birkhoff Theorem; Brouwer Translation Theorem; fixed point;
D O I：
10.1090/S0002-9939-97-03766-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a simple proof of the following result of P. Carter: Given a twist homeomorphism of an annulus with at most one fixed point in the interior of the annulus, then there exists an essential simple closed curve inside this annulus meeting its image in at most the (possible) interior fixed point.
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页码：1555 / 1559
页数：5
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