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arXiv · 1606.04687

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

Haim Brezis·Petru Mironescu·Itai Shafrir
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Abstract

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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Haim Brezis, Petru Mironescu, Itai Shafrir. 2016-06-15. Distances between homotopy classes of $W^{s,p}({\mathbb S}^N;{\mathbb S}^N)$. https://doi.org/10.1051/cocv%2F2016037

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