Affiliation: | Department of Mathematics, Agriculture Academy of Nizhny Novgorod, 97 Gagarin Ave, Nizhny Novgorod, 603107 Russia E. Zhuzhoma ; Department of Applied Mathematics, Nizhny Novgorod State Technical University, 24 Minina Str., Nizhny Novgorod, 603600 Russia |
Abstract: | We show that if a closed -manifold admits a structurally stable diffeomorphism with an orientable expanding attractor of codimension one, then is homotopy equivalent to the -torus and is homeomorphic to for . Moreover, there are no nontrivial basic sets of different from . This allows us to classify, up to conjugacy, structurally stable diffeomorphisms having codimension one orientable expanding attractors and contracting repellers on , . |