La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Retour aux chapitres de la classification

28-XX Measure and integration [For analysis on manifolds, see 58-XX]

• 28-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 28-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 28-02 Research exposition (monographs, survey articles)
• 28-03 Historical (must also be assigned at least one classification number from Section 01)
• 28-04 Explicit machine computation and programs (not the theory of computation or programming)
• 28-06 Proceedings, conferences, collections, etc.
• 28-99 Measure and integration (not classified at a more specific level)
• 28Axx Classical measure theory
  • 28A05 Classes of sets (Borel fields, -rings, etc.), measurable sets, Suslin sets, analytic sets [See also 03E15, 26A21, 54H05]
  • 28A10 Real- or complex-valued set functions
  • 28A12 Contents, measures, outer measures, capacities
  • 28A15 Abstract differentiation theory, differentiation of set functions [See also 26A24]
  • 28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
  • 28A25 Integration with respect to measures and other set functions
  • 28A33 Spaces of measures, convergence of measures [See also 46E27, 60Bxx]
  • 28A35 Measures and integrals in product spaces
  • 28A50 Integration and disintegration of measures
  • 28A51 Lifting theory [See also 46G15]
  • 28A60 Measures on Boolean rings, measure algebras [See also 54H10]
  • 28A75 Length, area, volume, other geometric measure theory [See also 26B15, 49Q15]
  • 28A78 Hausdorff and packing measures
  • 28A80 Fractals [See also 37Fxx]
  • 28A99 None of the above, but in this section
• 28Bxx Set functions, measures and integrals with values in abstract spaces
• 28Cxx Set functions and measures on spaces with additional structure [See also 46G12, 58C35, 58D20]
• 28Dxx Measure-theoretic ergodic theory [See also 11K50, 11K55, 22D40, 37Axx, 47A35, 54H20, 60Fxx, 60G10]
• 28Exx Miscellaneous topics in measure theory

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