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Every attractor of a flow on a manifold has the shape of a finite polyhedron. (English) Zbl 0822.54014

Summary: It is shown that the class of compacta which can occur as attractors of continuous flows on topological manifolds coincides with the class of finite dimensional compacta having the shape of a finite polyhedron.

MSC:

54C56 Shape theory in general topology
54H20 Topological dynamics (MSC2010)
37C70 Attractors and repellers of smooth dynamical systems and their topological structure

Citations:

Zbl 0822.54015
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