On the Topologically Conjugate Classes of Anosov Endomorphisms on Tori
نویسنده
چکیده
This paper considers the following question: Given an Anosov endomorphism f on T, whether f is topologically conjugate to some hyperbolic toral endomorphism? It is well known that the answer for Anosov diffeomorphisms and expanding endomorphisms is affirmative. However, for the remainder Anosov endomorphisms, a quite different answer is obtained in this paper, i.e., for generic Anosov endomorphisms, they are not topologically conjugate to any hyperbolic toral endomorphism.
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تاریخ انتشار 2002