Distances between homotopy classes of Ws,p(SN;SN)

Haïm Brezis, Petru Mironescu, Itai Shafrir

Research output: Contribution to journalArticlepeer-review


Distances between homotopy classes of Ws,p(SN;SN) are investigated by researchers. It is demonstrated that the classes These classes are precisely the connected or path-connected components of Ws,p(SN;SN). The researchers obtain the order of magnitude of the distances dist Ws,p, and show that these results are not sensitive to the choice of a specific distance among various equivalent ones.

Original languageEnglish
Pages (from-to)1204-1235
Number of pages32
JournalESAIM - Control, Optimisation and Calculus of Variations
Issue number4
StatePublished - 1 Oct 2016


  • Degree
  • Homotopy classes
  • Sobolev spaces
  • Sphere-valued maps

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics


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