Axiom A maps are dense in the space of unimodal maps in the $C^k$ topology
Abstract
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2004
- DOI:
- arXiv:
- arXiv:math/0401049
- Bibcode:
- 2004math......1049K
- Keywords:
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- Mathematics - Dynamical Systems;
- 37E05;
- 37F99
- E-Print:
- 43 pages, published version