Distances between homotopy classes of $W^{s,p}({\mathbb S}^N;{\mathbb S}^N)$

Haim Brezis; Itai Shafrir; Petru Mironescu

arxiv: 1606.04687 · v1 · pith:YGUCXJGWnew · submitted 2016-06-15 · 🧮 math.FA

Distances between homotopy classes of W^(s,p)({mathbb S}^N;{mathbb S}^N)

Haim Brezis , Petru Mironescu , Itai Shafrir This is my paper

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We introduce an equivalence relation on $W^{s,p}({\mathbb S}^N;{\mathbb S}^N)$ involving the topological degree, and we evaluate the distances (in the usual sense and in the Hausdorff sense) between the equivalence classes. In some special cases we even obtain exact formulas.

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Distances between homotopy classes of W^(s,p)({mathbb S}^N;{mathbb S}^N)

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