Homotopy classes of Newtonian maps

• Elefterios Soultanis ^[1]
  1. [1] Polish Academy of Sciences

     Polish Academy of Sciences

     Warszawa, Polonia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 33, Nº 3, 2017 (Ejemplar dedicado a: Yves Meyer), págs. 951-994
• Idioma: inglés
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• Resumen

  • In this paper we study notions of homotopy in the Newtonian space N1,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.