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  • 58-XX Global analysis, analysis on manifolds
  • 58Axx General theory of differentiable manifolds
  • 58A17 Pfaffian systems

58Axx General theory of differentiable manifolds

  • 58A03 Topos-theoretic approach to differentiable manifolds
  • 58A05 Differentiable manifolds, foundations
  • 58A07 Real-analytic and Nash manifolds
  • 58A10 Differential forms
  • 58A12 de Rham theory
  • 58A14 Hodge theory
  • 58A15 Exterior differential systems (Cartan theory)
  • 58A17 Pfaffian systems
  • 58A20 Jets
  • 58A25 Currents
  • 58A30 Vector distributions (subbundles of the tangent bundles)
  • 58A32 Natural bundles
  • 58A35 Stratified sets
  • 58A40 Differential spaces
  • 58A50 Supermanifolds and graded manifolds
  • 58A99 None of the above, but in this section
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