On some questions of topology for ${\mathbb S}^1$-valued fractional Sobolev spaces
Brezis, Haïm ; Mironescu, Petru
HAL, hal-00747695 / Harvested from HAL
Text on HAL
We describe the homotopy classes of the metric space $W^{s,p}(U ; {\mathbb S}^1)$, where $U$ is an open set in ${\mathbb R}^n$.
Publié le : 2001-07-05
Classification:  Sobolev spaces,  unimodular maps,  homotopy classes,  58D15 ; 46E35 ; 46T10,  [MATH.MATH-CA]Mathematics [math]/Classical Analysis and ODEs [math.CA] 
@article{hal-00747695,
     author = {Brezis, Ha\"\i m and Mironescu, Petru},
     title = {On some questions of topology for ${\mathbb S}^1$-valued fractional Sobolev spaces},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00747695}
}

Brezis, Haïm; Mironescu, Petru. On some questions of topology for ${\mathbb S}^1$-valued fractional Sobolev spaces. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00747695/