No CrossRef data available.
Article contents
A zero topological entropy map for which periodic points are not a G_\delta set
Published online by Cambridge University Press: 19 June 2002
Abstract
We exhibit an example of a continuous map of the interval of type 2^\infty, and hence of zero topological entropy, for which the set of periodic points is not a G_\delta set. This disproves a conjecture by Sharkovsky from 1965. Unfortunately, this conjecture has been incorrectly quoted as a true statement by other authors in many papers and books.
- Type
- Research Article
- Information
- Copyright
- 2002 Cambridge University Press