The topological entropy versus level sets for interval maps

Jozef Bobok

Studia Mathematica (2002)

  • Volume: 152, Issue: 3, page 249-261
  • ISSN: 0039-3223

Abstract

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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?

How to cite

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Jozef Bobok. "The topological entropy versus level sets for interval maps." Studia Mathematica 152.3 (2002): 249-261. <http://eudml.org/doc/284713>.

@article{JozefBobok2002,
abstract = {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?},
author = {Jozef Bobok},
journal = {Studia Mathematica},
keywords = {interval map; level set; topological entropy},
language = {eng},
number = {3},
pages = {249-261},
title = {The topological entropy versus level sets for interval maps},
url = {http://eudml.org/doc/284713},
volume = {152},
year = {2002},
}

TY - JOUR
AU - Jozef Bobok
TI - The topological entropy versus level sets for interval maps
JO - Studia Mathematica
PY - 2002
VL - 152
IS - 3
SP - 249
EP - 261
AB - 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?
LA - eng
KW - interval map; level set; topological entropy
UR - http://eudml.org/doc/284713
ER -

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