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Diffeomorphisms in 1(M) satisfy Axiom A

  • Shuhei Hayashi (a1)

R. Mañé has given a proof of the C1 Stability Conjecture and conjectured that every element of ℱ1(M) satisfies Axiom A. Here we prove that this conjecture is true.

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[5]Mañé R.. A proof of the C 1 Stability Conjecture. Publ. Math. IHES 66 (1988), 161210.
[6]Palis J.. On the C 1 Ω-Stability Conjecture. Publ. Math. IHES 66 (1988), 211215.
[7]Smale S.. Differentiable dynamical systems. Bull. Amer. Math. Soc. 73 (1967), 747817.
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Ergodic Theory and Dynamical Systems
  • ISSN: 0143-3857
  • EISSN: 1469-4417
  • URL: /core/journals/ergodic-theory-and-dynamical-systems
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