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