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  • 28-XX Measure and integration
  • 28Axx Classical measure theory
  • 28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence

28Axx Classical measure theory

  • 28A05 Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets
  • 28A10 Real- or complex-valued set functions
  • 28A12 Contents, measures, outer measures, capacities
  • 28A15 Abstract differentiation theory, differentiation of set functions
  • 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
  • 28A35 Measures and integrals in product spaces
  • 28A50 Integration and disintegration of measures
  • 28A51 Lifting theory
  • 28A60 Measures on Boolean rings, measure algebras
  • 28A75 Length, area, volume, other geometric measure theory
  • 28A78 Hausdorff and packing measures
  • 28A80 Fractals
  • 28A99 None of the above, but in this section
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