New Questions Related to the Topological Degree

  title={New Questions Related to the Topological Degree},
  author={H. Brezis},
  • H. Brezis
  • Published 2006
  • Mathematics
  • Degree theory for continuous maps has a long history and has been extensively studied, both from the point of view of analysis and topology. If f ∈ C 0(S n, S n), deg f is a well-defined element of ℤ, which is stable under continuous deformation. Starting in the early 1980s, the need to define a degree for some classes of discontinuous maps emerged from the study of some nonlinear PDEs (related to problems in liquid crystals and superconductors). These examples involved Sobolev maps in the… CONTINUE READING
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