论文信息 - Every attractor of a flow on a manifold has the shape of a finite polyhedron - 字舞流文

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

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

Jack Segal | Bernd Günther

[1] J. West. Mapping Hilbert cube manifolds to ANR's: A solution of a conjecture of Borsuk , 1977 .

[2] Vladimir I. Arnold,et al. Dynamical Systems I , 1988 .

[3] R. Geoghegan,et al. Concerning the shapes of finite-dimensional compacta , 1973 .

[4] J. Robbin,et al. Dynamical systems, shape theory and the Conley index , 1988, Ergodic Theory and Dynamical Systems.

[5] A. Dold. Lectures on Algebraic Topology , 1972 .

[6] R. Wilder. Topology of Manifolds , 1949 .

[7] R. Bing. Concerning hereditarily indecomposable continua. , 1951 .

[8] M. Hirsch,et al. Differential Equations, Dynamical Systems, and Linear Algebra , 1974 .

[9] D. Salamon. CONNECTED SIMPLE SYSTEMS AND THE CONLEY INDEX OF ISOLATED INVARIANT SETS , 1985 .

[10] T. Chapman. Shapes of finite-dimensional compacta , 1971 .