Günther, Bernd; Segal, Jack Every attractor of a flow on a manifold has the shape of a finite polyhedron. (English) Zbl 0822.54014 Proc. Am. Math. Soc. 119, No. 1, 321-329 (1993). 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. Cited in 4 ReviewsCited in 45 Documents MSC: 54C56 Shape theory in general topology 54H20 Topological dynamics (MSC2010) 37C70 Attractors and repellers of smooth dynamical systems and their topological structure Keywords:cascade; domain of attraction; dynamical systems; complement theorem; attractors; continuous flows; shape Citations:Zbl 0822.54015 PDFBibTeX XMLCite \textit{B. Günther} and \textit{J. Segal}, Proc. Am. Math. Soc. 119, No. 1, 321--329 (1993; Zbl 0822.54014) Full Text: DOI