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
- 58B05 Homotopy and topological questions
- 58B10 Differentiability questions
- 58B12 Questions of holomorphy [See also 32-XX, 46G20]
- 58B15 Fredholm structures [See also 47A53]
- 58B20 Riemannian, Finsler and other geometric structures [See also 53C20, 53C60]
- 58B25 Group structures and generalizations on infinite-dimensional manifolds [See also 22E65, 58D05]
- 58B32 Geometry of quantum groups [Nouveau code MSC 2000]
- 58B34 Noncommutative geometry (à la Connes) [Nouveau code MSC 2000]
- 58B99 None of the above, but in this section
- 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]
- 58Z05 Applications to physics
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