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-inverse limit stability theorem
Authors:Hiroshi Ikeda
Affiliation:Department of Mathematics, School of Education, Waseda University, Shinjuku, Tokyo, 169-50, Japan
Abstract:We prove that if an endomorphism $f$ satisfies weak Axiom A and the no-cycles condition then $f$ is $Omega $-inverse limit stable. This result is a generalization of Smale's $Omega $-stability theorem from diffeomorphisms to endomorphisms.

Keywords:Inverse limit stability   weak Axiom A   prehyperbolic sets
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