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arXiv:math/0401049 [math.DS]AbstractReferencesReviewsResources

Axiom A maps are dense in the space of unimodal maps in the $C^k$ topology

Oleg S. Kozlovski

Published 2004-01-06, updated 2004-02-03Version 2

In this paper we prove C^k structure stability conjecture for unimodal maps. In other words, we shall prove that Action A maps are dense in the space of C^k unimodal maps in the C^k topology. Here k can be 1,2,...,\infty,\omega.

Comments: 43 pages, published version
Journal: Ann. of Math. (2) 157 (2003), no. 1, 1--43
Categories: math.DS
Subjects: 37E05, 37F99
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