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Mathematical Sciences Classification System

58Kxx - Theory of singularities and catastrophe theory
[See also 32Sxx, 37-XX]

• 2
  58K05
  Critical points of functions and mappings
• 2
  58K10
  Monodromy
• 58K15
  Topological properties of mappings
• 58K20
  Algebraic and analytic properties of mappings
• 1
  58K25
  Stability
• 58K30
  Global theory
• 1
  58K35
  Catastrophe theory
• 1
  58K40
  Classification; finite determinacy of map germs
• 58K45
  Singularities of vector fields, topological aspects
• 1
  58K50
  Normal forms
• 58K55
  Asymptotic behavior
• 3
  58K60
  Deformation of singularities
• 58K65
  Topological invariants
• 3
  58K70
  Symmetries, equivariance
• 58K99
  None of the above, but in this section