Construction of differentiable flows with prescribed attractor (Q1346169)

The author proves the following theorem: ``A finite dimensional compactum is an attractor of a differentiable flow of finite class if and only if it has the shape of a finite polyhedron''. The analogous result for continuous flows was proved by the author and \textit{J. Segal} in [Proc. Am. Math. Soc. 119, No. 1, 321-329 (1993; Zbl 0822.54014), see the review above].