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