On some questions of topology for -valued fractional Sobolev spaces

نویسندگان

  • H. Brezis
  • P. Mironescu
چکیده

"&('*),+/.0 1 )213&4 a.e. 576 Our main results assert that is path-connected if 8!" :9 while it has the same homotopy classes as ;=<> *? @ if 8!BA 9 . We also present some results and open problems about density of smooth maps in C D E? F . Sobre algunas cuestiones topológicas para espacios de Sobolev fracionarios con valores en GIH Resumen. El propósito de este artı́culo es describir las clases de homotópı́a (i.e., componentes conexas por arcos) del espacio . Aquı́, J K = K L = M!N O , es un abierto, regular, acotado y conexo de $ % y

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تاریخ انتشار 2002