Ω-inverse limit stability theorem

Ikeda, Hiroshi

doi:10.1090/S0002-9947-96-01629-7

$\Omega$-inverse limit stability theorem
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Trans. Amer. Math. Soc. 348 (1996), 2183-2200 Request permission

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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