On two-dimensional surface attractors and repellers on 3-manifolds
نویسندگان
چکیده
We show that if f : M3 → M3 is an A-diffeomorphism with a surface two-dimensional attractor or repeller B andM2 B is a supporting surface for B, then B = M2 B and there is k ≥ 1 such that: 1) M2 B is a union M 2 1 ∪ . . .∪M 2 k of disjoint tame surfaces such that every M2 i is homeomorphic to the 2-torus T 2. 2) the restriction of f to M2 i (i ∈ {1, . . . , k}) is conjugate to Anosov automorphism of T 2.
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