On structurally stable diffeomorphisms with codimension one expanding attractors
نویسندگان
چکیده
منابع مشابه
On Structurally Stable Diffeomorphisms with Codimension One Expanding Attractors
We show that if a closed n-manifold Mn (n ≥ 3) admits a structurally stable diffeomorphism f with an orientable expanding attractor Ω of codimension one, then Mn is homotopy equivalent to the n-torus Tn and is homeomorphic to Tn for n 6= 4. Moreover, there are no nontrivial basic sets of f different from Ω. This allows us to classify, up to conjugacy, structurally stable diffeomorphisms having ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2004
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-04-03460-9