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Mathematical Sciences Classification System

58Dxx - Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
[See also 46Txx, 53Cxx]

• 58D05
  Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05]
• 58D07
  Groups and semigroups of nonlinear operators [See also 17B65, 47H20]
• 58D10
  Spaces of imbeddings and immersions
• 1
  58D15
  Manifolds of mappings [See also 46T10, 54C35]
• 1
  58D17
  Manifolds of metrics (esp. Riemannian)
• 3
  58D19
  Group actions and symmetry properties
• 58D20
  Measures (Gaussian, cylindrical, etc.) on manifolds of maps [See also 28Cxx, 46T12]
• 1
  58D25
  Equations in function spaces; evolution equations [See also 34Gxx, 35K90, 35L90, 35R15, 37Lxx, 47Jxx]
• 1
  58D27
  Moduli problems for differential geometric structures
• 58D29
  Moduli problems for topological structures
• 8
  58D30
  Applications (in quantum mechanics (Feynman path integrals), relativity, fluid dynamics, etc.)
• 58D99
  None of the above, but in this section