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Cited article:

On the distance between homotopy classes in W 1/p,p (𝕊 1 ;𝕊 1 )

Itai Shafrir
Confluentes Mathematici 10 (1) 125 (2018)
https://doi.org/10.5802/cml.48

Distances between classes in $$W^{1,1}(\Omega ;{\mathbb {S}}^{1})$$ W 1 , 1 ( Ω ; S 1 )

Haim Brezis, Petru Mironescu and Itai Shafrir
Calculus of Variations and Partial Differential Equations 57 (1) (2018)
https://doi.org/10.1007/s00526-017-1280-z