The construction of global attractors. (English) Zbl 0714.58036
Let f: \(I\to I\) be a continuous interval mapping and let J denote the inverse limit of the system
\[
...\to^{f}I\to^{f}I\to^{f}I
\]
with g: \(J\to J\) the map induced by f. It is shown that (J,g) can be topologically realized as a global attractor in the plane.
Reviewer: M.Mrozek
MSC:
| 37C70 | Attractors and repellers of smooth dynamical systems and their topological structure |
| 54H20 | Topological dynamics (MSC2010) |
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