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Mathematical Sciences Classification System

28Axx - Classical measure theory

• 7
  28A05
  Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets [See also 03E15, 26A21, 54H05]
• 1
  28A10
  Real- or complex-valued set functions
• 5
  28A12
  Contents, measures, outer measures, capacities
• 2
  28A15
  Abstract differentiation theory, differentiation of set functions [See also 26A24]
• 4
  28A20
  Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
• 9
  28A25
  Integration with respect to measures and other set functions
• 13
  28A33
  Spaces of measures, convergence of measures [See also 46E27, 60Bxx]
• 2
  28A35
  Measures and integrals in product spaces
• 5
  28A50
  Integration and disintegration of measures
• 28A51
  Lifting theory [See also 46G15]
• 28A60
  Measures on Boolean rings, measure algebras [See also 54H10]
• 24
  28A75
  Length, area, volume, other geometric measure theory [See also 26B15, 49Q15]
• 31
  28A78
  Hausdorff and packing measures
• 98
  28A80
  Fractals [See also 37Fxx]
• 28A99
  None of the above, but in this section