La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Retour 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]
  • 58C05 Real-valued functions
  • 58C06 Set valued and function-space valued mappings [See also 47H04, 54C60]
  • 58C07 Continuity properties of mappings
  • 58C10 Holomorphic maps [See also 32-XX]
  • 58C15 Implicit function theorems; global Newton methods
  • 58C20 Differentiation theory (Gâteaux, Fréchet, etc.) [See also 26Exx, 46G05]
  • 58C25 Differentiable maps
  • 58C30 Fixed point theorems on manifolds [See also 47H10]
  • 58C35 Integration on manifolds; measures on manifolds [See also 28Cxx]
  • 58C40 Spectral theory; eigenvalue problems [See also 47J10, 58E07]
  • 58C50 Analysis on supermanifolds or graded manifolds
  • 58C99 None of the above, but in this section
• 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

Retour à la page Classification Mathématique par Matières (version 2000)