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A Cl closing lemma for equivariant endomorphisms under actions of finite groups

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Abstract

A Cl closing lemma is proved for equivariant endomorphisms under actions of finite groups. Our result shows that, for such an endomorphism, a nonwandering orbit together with its symmetric conjugates can be closed up under a Cl-small equivariant perturbation

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Authors and Affiliations

  1. Department of Applied Mathematics, Tsinghua University, 100084, Beijing, China

    Xiaofeng Wang

Authors
  1. Xiaofeng Wang
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Additional information

Project partially supported by the National Natural Science Foundation of China (Grant No. 19531070).

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Wang, X. A Cl closing lemma for equivariant endomorphisms under actions of finite groups. Sci. China Ser. A-Math. 41, 950–959 (1998). https://doi.org/10.1007/BF02880004

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  • DOI: https://doi.org/10.1007/BF02880004

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