Positive entropy homeomorphisms of chainable continua and indecomposable subcontinua-Reference-Cited by-同舟云学术

Positive entropy homeomorphisms of chainable continua and indecomposable subcontinua

Published:2010-12-29 Issue:8 Volume:139 Page:2783-2791
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Mouron Christopher

Abstract

It is shown that if X X is a chainable continuum and h : X ⟶ X h:X\longrightarrow X is a homeomorphism such that the topological entropy of h h is greater than 0, then X X must contain an indecomposable subcontinuum. This answers a question of Barge.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2011-139-08/S0002-9939-2010-10783-9/S0002-9939-2010-10783-9.pdf

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4. The topological entropy of homeomorphisms on one-dimensional continua;Seidler, Gerald T.;Proc. Amer. Math. Soc.,1990

5. Topological entropy of the induced maps of the inverse limits with bonding maps;Ye, Xiang Dong;Topology Appl.,1995

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