58XX 


Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46XX, 47Hxx, 53Cxx} {For geometric integration theory, see 49Q15]} 

58Axx 

General theory of differentiable manifolds [See also 32Cxx] 


58A03 
Topostheoretic approach to differentiable manifolds 


58A05 
Differentiable manifolds, foundations 


58A07 
Realanalytic 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) 


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 