58-XX |
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Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 53Cxx] {For nonlinear operators, see 47Hxx; for geometric integration theory, see 49Q15} |
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58Kxx |
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Theory of singularities and catastrophe theory [See also 32Sxx, 37-XX] |
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58K05 |
Critical points of functions and mappings on manifolds |
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58K10 |
Monodromy on manifolds |
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58K15 |
Topological properties of mappings on manifolds |
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58K20 |
Algebraic and analytic properties of mappings on manifolds |
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58K25 |
Stability theory for manifolds |
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58K30 |
Global theory of singularities |
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58K35 |
Catastrophe theory |
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58K40 |
Classification; finite determinacy of map germs |
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58K45 |
Singularities of vector fields, topological aspects |
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58K50 |
Normal forms on manifolds |
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58K55 |
Asymptotic behavior of solutions to equations on manifolds |
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58K60 |
Deformation of singularities |
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58K65 |
Topological invariants on manifolds |
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58K70 |
Symmetries, equivariance on manifolds |
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58K99 |
None of the above, but in this section |