The topological entropy versus level sets for interval maps
Volume 152 / 2002
Studia Mathematica 152 (2002), 249-261
MSC: 37E05, 37B40.
DOI: 10.4064/sm152-3-4
Abstract
We answer affirmatively Coven's question [PC]: Suppose $f\colon \, I\to I$ is a continuous function of the interval such that every point has at least two preimages. Is it true that the topological entropy of $f$ is greater than or equal to $\mathop {\rm log}\nolimits 2$?
