La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour aux chapitres de la classification 58-XX Global analysis, analysis on manifolds [For geometric integration theory, see 49Q15]
- 58-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 58-01 Instructional exposition (textbooks, tutorial papers, etc.)
- 58-02 Research exposition (monographs, survey articles)
- 58-03 Historical (must also be assigned at least one classification number from Section 01)
- 58-04 Explicit machine computation and programs (not the theory of computation or programming)
- 58-06 Proceedings, conferences, collections, etc.
- 58-99 Global analysis, analysis on manifolds (not classified at a more specific level)
- 58Axx General theory of differentiable manifolds [See also 32Cxx]
- 58Bxx Infinite-dimensional manifolds
- 58Cxx Calculus on manifolds; nonlinear operators [See also 46Txx, 47Hxx, 47Jxx]
- 58Dxx Spaces and manifolds of mappings (including nonlinear versions of 46Exx) [See also 46Txx, 53Cxx]
- 58Exx Variational problems in infinite-dimensional spaces
- 58Hxx Pseudogroups, differentiable groupoids and general structures on manifolds
- 58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx]
- 58Kxx Theory of singularities and catastrophe theory [See also 32Sxx, 37-XX]
- 58K05 Critical points of functions and mappings [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58C27, 32S05
- 58K10 Monodromy [Nouveau code MSC 2000]
- 58K15 Topological properties of mappings [Nouveau code MSC 2000]
- 58K20 Algebraic and analytic properties of mappings [Nouveau code MSC 2000]
- 58K25 Stability [Nouveau code MSC 2000]
- 58K30 Global theory [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58C27, 57R45
- 58K35 Catastrophe theory [Nouveau code MSC 2000]
- 58K40 Classification; finite determinacy of map germs [Nouveau code MSC 2000]
- 58K45 Singularities of vector fields, topological aspects [Nouveau code MSC 2000]
- 58K50 Normal forms [Nouveau code MSC 2000]
- 58K55 Asymptotic behavior [Nouveau code MSC 2000]
- 58K60 Deformation of singularities [Nouveau code MSC 2000]
- Codes MSC1991 affiliés : 58C27, 32S39
- 58K65 Topological invariants [Nouveau code MSC 2000]
- 58K70 Symmetries, equivariance [Nouveau code MSC 2000]
- 58K99 None of the above, but in this section [Nouveau code MSC 2000]
- 58Z05 Applications to physics
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