EVERY 3-MANIFOLD ADMITS A STRUCTURALLY STABLE NONSINGULAR FLOW WITH THREE BASIC SETS

EVERY 3-MANIFOLD ADMITS A STRUCTURALLY STABLE NONSINGULAR FLOW WITH THREE BASIC SETS
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每个三流形都承认具有三个基本集的结构稳定的非奇异流

DOI:
10.1090/proc/13122
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发表时间:
2016
影响因子:
1
通讯作者:
Yu Bin
Yu Bin
中科院分区:
数学3区
文献类型:
--
作者:
Yu Bin

文献摘要

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This paper is devoted to proving that every closed orientable-manifold admits a simple Smale flow. Here a simple Smale flow is a structurally stable nonsingular flow whose chain recurrent set is composed of a periodic orbit attractor, a periodic orbit repeller and a transitive saddle invariant set, ie, a saddle basic set. References