New Questions Related to the Topological Degree

  title={New Questions Related to the Topological Degree},
  author={Ha{\"i}m Brezis},
  • Haïm Brezis
  • Published 2011
1 Topological degree and VMO 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… CONTINUE READING

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