On the Topological Conjugacy of Brouwer Flows

被引：0
作者：
Zbigniew Leśniak
机构：
[1] Pedagogical University,Department of Mathematics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2019年 / 42卷
关键词：
Brouwer homeomorphism; Brouwer flow; First prolongational limit set; Topological equivalence; Topological conjugacy; Primary 39B12; Secondary 54H20; 37E30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the problem of topological conjugacy of Brouwer flows. We give a sufficient and necessary condition for Brouwer flows to be topologically conjugate. To obtain this result we use a cover of the plane by maximal parallelizable regions and relations between parallelizing homeomorphisms of these regions. We show that for topologically equivalent Brouwer flows there exists a one-to-one correspondence between such covers of the plane.
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页码：1639 / 1655
页数：16
相关论文
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