Extending T p automorphisms over R p + 2 and realizing DE attractors
نویسندگان
چکیده
Let ı : T p → Rp+2, p ≥ 1, be an embedded p-torus into the Euclidean space Rp+2, and Eı be the subgroup of MT p , the mapping class group of T , whose elements extend over Rp+2 as self-diffeomorphisms. We show that for any unknotted embedding ı : T p → Rp+2, Eı is a subgroup of MT p of index 2−1. We also provide a matrix characterization. This applies to showing that for any expanding map φ : T p → T , there is a self-diffeomorphism of Rp+2 realizing a hyperbolic attractor derived from φ. 2000 AMS subject class 37D45 57R25 57R40
منابع مشابه
over R p + 2 and realizing DE attractors
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