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Mathematical Sciences Classification System

58Axx - General theory of differentiable manifolds
[See also 32Cxx]

• 2
  58A03
  Topos-theoretic approach to differentiable manifolds
• 4
  58A05
  Differentiable manifolds, foundations
• 58A07
  Real-analytic and Nash manifolds [See also 14P20, 32C07]
• 16
  58A10
  Differential forms
• 4
  58A12
  de Rham theory [See also 14Fxx]
• 4
  58A14
  Hodge theory [See also 14C30, 14Fxx, 32J25, 32S35]
• 10
  58A15
  Exterior differential systems (Cartan theory)
• 1
  58A17
  Pfaffian systems
• 2
  58A20
  Jets
• 2
  58A25
  Currents [See also 32C30, 53C65]
• 1
  58A30
  Vector distributions (subbundles of the tangent bundles)
• 2
  58A32
  Natural bundles
• 1
  58A35
  Stratified sets [See also 32S60]
• 2
  58A40
  Differential spaces
• 7
  58A50
  Supermanifolds and graded manifolds [See also 14A22, 32C11]
• 58A99
  None of the above, but in this section