Communications of the
Korean Mathematical Society
CKMS
ISSN(Print) 1225-1763
ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2013; 28(3): 581-587
Printed July 1, 2013
https://doi.org/10.4134/CKMS.2013.28.3.581
Copyright © The Korean Mathematical Society.
Generic diffeomorphisms with robustly transitive sets
Manseob Lee and Seunghee Lee
Mokwon University, Chungnam National University
Let $\Lambda$ be a robustly transitive set of a diffeomorphism $f$ on a closed $C^{\infty}$ manifold. In this paper, we characterize hyperbolicity of $\Lambda$ in $C^1$-generic sense.
Keywords: transitive set, robustly transitive set, generic, dominated splitting, partially hyperbolic, hyperbolic
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