Abstract
We prove a C 1-connecting lemma for pseudo-orbits of diffeomorphisms on compact manifolds. We explore some consequences for C 1-generic diffeomorphisms. For instance, C 1-generic conservative diffeomorphisms are transitive. To cite this article: C. Bonatti, S. Crovisier, C. R. Acad. Sci. Paris, Ser. I 336 (2003).
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