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]
  • 15
    58A10
    Differential forms
  • 3
    58A12
    de Rham theory [See also 14Fxx]
  • 4
    58A14
    Hodge theory [See also 14C30, 14Fxx, 32J25, 32S35]
  • 9
    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
  • 6
    58A50
    Supermanifolds and graded manifolds [See also 14A22, 32C11]
  • 58A99
    None of the above, but in this section

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