58XX 


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

58Kxx 

Theory of singularities and catastrophe theory [See also 32Sxx, 37XX] 


58K05 
Critical points of functions and mappings 


58K10 
Monodromy 


58K15 
Topological properties of mappings 


58K20 
Algebraic and analytic properties of mappings 


58K25 
Stability 


58K30 
Global theory 


58K35 
Catastrophe theory 


58K40 
Classification; finite determinacy of map germs 


58K45 
Singularities of vector fields, topological aspects 


58K50 
Normal forms 


58K55 
Asymptotic behavior 


58K60 
Deformation of singularities 


58K65 
Topological invariants 


58K70 
Symmetries, equivariance 


58K99 
None of the above, but in this section 