Stably inverse shadowable transitive sets and dominated splitting
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- by Keonhee Lee and Manseob Lee PDF
- Proc. Amer. Math. Soc. 140 (2012), 217-226 Request permission
Abstract:
Let $f$ be a diffeomorphism of a closed $n$-dimensional smooth manifold. In this paper, we show that if $f$ has the $C^1$-stably inverse shadowing property on a transitive set, then it admits a dominated splitting.References
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Additional Information
- Keonhee Lee
- Affiliation: Department of Mathematics, Chungnam National University, Daejeon, 305-764, Republic of Korea
- Email: khlee@cnu.ac.kr
- Manseob Lee
- Affiliation: Department of Mathematics, Mokwon University, Daejeon, 302-729, Republic of Korea
- Email: lmsds@mokwon.ac.kr
- Received by editor(s): June 15, 2010
- Received by editor(s) in revised form: October 7, 2010, and November 3, 2010
- Published electronically: May 19, 2011
- Additional Notes: The second author is the corresponding author.
- Communicated by: Yingfei Yi
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 217-226
- MSC (2000): Primary 37D30; Secondary 37C50
- DOI: https://doi.org/10.1090/S0002-9939-2011-10882-7
- MathSciNet review: 2833534