Let M and N be compact manifolds and consider the Sobolev space W1,p (M, N). Our main concern is to determine whether or not W1,p (M, N) is path-connected and, if not, what can be said about its path-connected components, i.e., its W1,p-homotopy classes.
|Translated title of the contribution||Topology and Sobolev spaces|
|Number of pages||6|
|Journal||Comptes Rendus de l'Academie des Sciences - Series I: Mathematics|
|State||Published - Sep 1 2000|
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