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Supporting manifolds for high-dimensional Morse-Smale diffeomorphisms with few saddles
Topology and its Applications ( IF 0.6 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.topol.2020.107315 V. Medvedev , E. Zhuzhoma
Topology and its Applications ( IF 0.6 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.topol.2020.107315 V. Medvedev , E. Zhuzhoma
We describe the topological structure of closed manifolds of dimension no less than four which admit Morse-Smale diffeomorphisms such that its non-wandering set contains any number of sink periodic points, and any number of source periodic points, and few saddle periodic points.
中文翻译:
支持具有少量鞍点的高维 Morse-Smale 微分同胚流形
我们描述了不小于四维的闭合流形的拓扑结构,它允许莫尔斯-斯马尔微分同胚,使得它的非游荡集包含任意数量的汇周期点、任意数量的源周期点和很少的鞍周期点。
更新日期:2020-08-01
中文翻译:
支持具有少量鞍点的高维 Morse-Smale 微分同胚流形
我们描述了不小于四维的闭合流形的拓扑结构,它允许莫尔斯-斯马尔微分同胚,使得它的非游荡集包含任意数量的汇周期点、任意数量的源周期点和很少的鞍周期点。