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We prove that partially hyperbolic endomorphisms with one dimensional center-bundles and non-trivial unstable bundles are stably accessible. And there is residual subset R of partially hyperbolic volume preserving endomorphisms with one dimensional center-bundles such that every f ∈ R is stably accessible. In the end, we prove the accessibility of Gan's example.
Baolin He (Sun,) studied this question.
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