Geodesic
The topological entropy versus level sets for interval maps
Jozef Bobok1
1 KM FSv. ČVUT Thákurova 7 166 29 Praha 6, Czech Republic
Studia Mathematica, Tome 152 (2002) no. 3, pp. 249-261

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\mathop {\rm log}\nolimits 2$?
DOI : 10.4064/sm152-3-4
Keywords: answer affirmatively covens question suppose colon continuous function interval every point has least preimages topological entropy greater equal mathop log nolimits

Jozef Bobok 1

1 KM FSv. ČVUT Thákurova 7 166 29 Praha 6, Czech Republic 
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Jozef Bobok. The topological entropy versus level sets for interval maps. Studia Mathematica, Tome 152 (2002) no. 3, pp. 249-261. doi: 10.4064/sm152-3-4

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