Every attractor of a flow on a manifold has the shape of a finite polyhedron

Günther, Bernd; Segal, Jack

doi:10.1090/S0002-9939-1993-1170545-4

Every attractor of a flow on a manifold has the shape of a finite polyhedron
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by Bernd Günther and Jack Segal

Proc. Amer. Math. Soc. 119 (1993), 321-329

DOI: https://doi.org/10.1090/S0002-9939-1993-1170545-4

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Abstract:

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.

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