Ergodic Theory and Dynamical Systems

Research Article

Diffeomorphisms in 1(M) satisfy Axiom A

Shuhei Hayashia1

a1 Department of Mathematics, School of Education, Waseda University, 1-6-1 Nishi-Waseda, Shinjuku, Tokyo 169, Japan

Abstract

R. Mañé has given a proof of the C1 Stability Conjecture and conjectured that every element of 1(M) satisfies Axiom A. Here we prove that this conjecture is true.

(Received March 01 1991)