%0 Journal Article
%T Homotopy classes of Newtonian spaces
%A Elefterios Soultanis
%J Mathematics
%D 2013
%I arXiv
%X We study notions of homotopy in the Newtonian space $N^{1,p}(X;Y)$ of Sobolev type maps between metric spaces. After studying the properties and relations of two different notions we prove a compactness result for sequences in homotopy classes with controlled homotopies.
%U http://arxiv.org/abs/1309.6472v6