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28Axx

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Classical measure theory

  • 28A05 Classes of sets (Borel fields, $\sigma$-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