The C Closing Lemma for Nonsingular Endomorphisms Equivariant under Free Actions of Finite Groups

نویسندگان

  • XIAOFENG WANG
  • DUO WANG
چکیده

In this paper a closing lemma for C1 nonsingular endomorphisms equivariant under free actions of finite-groups is proved. Hence a recurrent trajectory, as well as all of its symmetric conjugates, of a C1 nonsingular endomorphism equivariant under a free action of a finite group can be closed up simultaneously by an arbitrarily small C1 equivariant perturbation.

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تاریخ انتشار 1999