Rigidity for real polynomials

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.

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