Geodesic
The fascinating homotopy structure of Sobolev spaces
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 14 (2003) no. 3, pp. 207-217.

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We discuss recent developments in the study of the homotopy classes for the Sobolev spaces $W^{1,p} (M;N)$. In particular, we report on the work of H. Brezis - Y. Li [5] and F.B. Hang - F.H. Lin [9]. 
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Brezis, Haïm. The fascinating homotopy structure of Sobolev spaces. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 14 (2003) no. 3, pp. 207-217. http://geodesic.mathdoc.fr/item/RLIN_2003_9_14_3_a3/

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