Transactions of the American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

$\Omega$ -inverse limit stability theorem

Author(s): Hiroshi Ikeda
Journal: Trans. Amer. Math. Soc. 348 (1996), 2183-2200.
MSC (1991): Primary 58F10; Secondary 58F15
MathSciNet review: 1355074
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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.

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