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http://dx.doi.org/10.4134/CKMS.2013.28.3.581

GENERIC DIFFEOMORPHISMS WITH ROBUSTLY TRANSITIVE SETS  

Lee, Manseob (Department of Mathematics Mokwon University)
Lee, Seunghee (Department of Mathematics Chungnam National University)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.3, 2013 , pp. 581-587 More about this Journal
Abstract
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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