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
  • 96
    28A80
    Fractals [See also 37Fxx]
  • 28A99
    None of the above, but in this section

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