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Volume 7, Number 1, 2017, Pages 334-345                                                                DOI:10.11948/2017022
Accessibility of partially hyperbolic endomorphisms with 1D center-bundles
Baolin He
Keywords:Accessibility, partially hyperbolic endomorphisms, unstable manifolds, orbit space, universal covering space.
Abstract:
      We prove that partially hyperbolic endomorphisms with one dimensional center-bundles and non-trivial unstable bundles are stably accessible. And there is residual subset $\Res$ of partially hyperbolic volume preserving endomorphisms with one dimensional center-bundles such that every $f \in \Res$ is stably accessible. In the end, we prove the accessibility of Gan's example.
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