Pseudocircles in Dynamical Systems
- 1 May 1994
- journal article
- Published by JSTOR in Transactions of the American Mathematical Society
- Vol. 343 (1) , 349-366
- https://doi.org/10.2307/2154536
Abstract
We construct an example of a ${C^\infty }$ map on a 3-manifold which has an invariant set with an uncountable number of components, each of which is a pseudocircle. Furthermore, any map which is sufficiently close (in the ${C^1}$-metric) to the constructed map has a similar set.
Keywords
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