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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