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
DOI: 10.4171/RMI/960
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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.