The topological entropy versus level sets for interval maps

• Autorzy: Jozef Bobok
• Języki publikacji: EN

Abstrakty

EN

We answer affirmatively Coven's question [PC]: Suppose f: I → 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 log 2?

Kategorie tematyczne

• 37B40: Topological entropy
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2002
• Tom: 152
• Numer: 3
• Strony: 249-261

Daty

wydano

2002

Twórcy

autor

Jozef Bobok

• KM FSv. ČVUT, Thákurova 7, 166 29 Praha 6, Czech Republic

Identyfikatory

DOI

10.4064/sm152-3-4