Positive entropy homeomorphisms of chainable continua and indecomposable subcontinua
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- by Christopher Mouron PDF
- Proc. Amer. Math. Soc. 139 (2011), 2783-2791 Request permission
Abstract:
It is shown that if $X$ is a chainable continuum and $h:X\longrightarrow X$ is a homeomorphism such that the topological entropy of $h$ is greater than 0, then $X$ must contain an indecomposable subcontinuum. This answers a question of Barge.References
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Additional Information
- Christopher Mouron
- Affiliation: Department of Mathematics and Computer Science, Rhodes College, Memphis, Tennessee 38112
- Email: mouronc@rhodes.edu
- Received by editor(s): August 6, 2008
- Received by editor(s) in revised form: July 20, 2010
- Published electronically: December 29, 2010
- Communicated by: Alexander N. Dranishnikov
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 2783-2791
- MSC (2010): Primary 37B45, 37B40; Secondary 54F15
- DOI: https://doi.org/10.1090/S0002-9939-2010-10783-9
- MathSciNet review: 2801619