Elsevier

Topology

Volume 43, Issue 2, March 2004, Pages 369-391
Topology

Topological classification of gradient-like diffeomorphisms on 3-manifolds

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Abstract

We give a complete invariant, called global scheme, of topological conjugacy classes of gradient-like diffeomorphisms, on compact 3-manifolds. Conversely, we can realize any abstract global scheme by such a diffeomorphism.

MSC

37D15
37C15

Keywords

Morse–Smale diffeomorphisms
Topological classification
3-manifolds

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