58Axx General theory of differentiable manifolds

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}
58A30  Vector distributions (subbundles of the tangent bundles)
58A35  Stratified sets, See also {32S60, 58C27}
58A40  Differential spaces
58A50  Supermanifolds and graded manifolds, See also {14A22,
               32C11}
58A99  None of the above but in this section