Rigidity for real polynomials

Pages 749-841 from Volume 165 (2007), Issue 3 by Oleg S. Kozlovski, Weixiao Shen, Sebastian van Strien

Abstract

We prove the topological (or combinatorial) rigidity property for real polynomials with all critical points real and nondegenerate, which completes the last step in solving the density of Axiom A conjecture in real one-dimensional dynamics.

DOI
https://doi.org/http://doi.org/10.4007/annals.2007.165.749
MR
2335796
zbMATH
1129.37020
Milestones
Received: 6 June 2003
Revised: 25 November 2005
Accepted: 28 February 2006
Published online: 1 March 2009

Authors

Oleg S. Kozlovski

Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom

Weixiao Shen

Mathematics Department, University of Science and Technology of China, Hefei, 230026, China

Sebastian van Strien

Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom