Mathematical Sciences Classification System

58Cxx - Calculus on manifolds; nonlinear operators
[See also 46Txx, 47Hxx, 47Jxx]

  • 58C05
    Real-valued functions
  • 58C06
    Set valued and function-space valued mappings [See also 47H04, 54C60]
  • 58C07
    Continuity properties of mappings
  • 58C10
    Holomorphic maps [See also 32-XX]
  • 3
    58C15
    Implicit function theorems; global Newton methods
  • 2
    58C20
    Differentiation theory (Gateaux, Fréchet, etc.) [See also 26Exx, 46G05]
  • 1
    58C25
    Differentiable maps
  • 2
    58C30
    Fixed point theorems on manifolds [See also 47H10]
  • 4
    58C35
    Integration on manifolds; measures on manifolds [See also 28Cxx]
  • 5
    58C40
    Spectral theory; eigenvalue problems [See also 47J10, 58E07]
  • 5
    58C50
    Analysis on supermanifolds or graded manifolds
  • 58C99
    None of the above, but in this section

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