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Supporting manifolds for high-dimensional Morse-Smale diffeomorphisms with few saddles

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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,… Click to show full abstract

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.

Keywords: supporting manifolds; smale diffeomorphisms; manifolds high; morse smale; high dimensional; periodic points

Journal Title: Topology and its Applications
Year Published: 2020

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