Mathematics Subject Classification 1991

28-XX Measure and integration, {For analysis on manifolds, See 58-XX} ( 0 Dok.)

• 28-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 28-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 28-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 28-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 28-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 28-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 28Axx Classical measure theory ( 0 Dok. )
• 28A05 Classes of sets (Borel fields, $sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets, See Also { 03E15, 04A15, 26A21, 54H05} ( 0 Dok.)
• 28A10 Real- or complex-valued set functions ( 0 Dok.)
• 28A12 Contents, measures, outer measures, capacities ( 0 Dok.)
• 28A15 Abstract differentiation theory, differentiation of set functions, See also {26A24} ( 0 Dok.)
• 28A20 Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence ( 0 Dok.)
• 28A25 Integration with respect to measures and other set functions ( 0 Dok.)
• 28A33 Spaces of measures, convergence of measures, See Also { 46E27, 60Bxx} ( 0 Dok.)
• 28A35 Measures and integrals in product spaces ( 0 Dok.)
• 28A50 Integration and disintegration of measures ( 0 Dok.)
• 28A51 Lifting theory, See also {46G15} ( 0 Dok.)
• 28A60 Measures on Boolean rings, measure algebras, See Also { 54H10} ( 0 Dok.)
• 28A75 Length, area, volume, other geometric measure theory, See also {26B15, 49Q15} ( 0 Dok.)
• 28A78 Hausdorff measures ( 0 Dok.)
• 28A80 Fractals, See also {58Fxx} ( 0 Dok.)
• 28A99 None of the above but in this section ( 0 Dok.)
• 28Bxx Set functions, measures and integrals with values in abstract spaces ( 0 Dok. )
• 28B05 Vector-valued set functions, measures and integrals, See also {46G10} ( 0 Dok.)
• 28B10 Group- or semigroup-valued set functions, measures and integrals ( 0 Dok.)
• 28B15 Set functions, measures and integrals with values in ordered spaces ( 0 Dok.)
• 28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections, See Also { 26E25, 54C60, 54C65, 90A14} ( 0 Dok.)
• 28B99 None of the above but in this section ( 0 Dok.)
• 28Cxx Set functions and measures on spaces with additional structure, See also {46G12, 58C35, 58D20} ( 0 Dok. )
• 28C05 Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures ( 0 Dok.)
• 28C10 Set functions and measures on topological groups, Haar measures, invariant measures, See also {22Axx, 43A05} ( 0 Dok.)
• 28C15 Set functions and measures on topological spaces (regularity of measures, etc.) ( 0 Dok.)
• 28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), See also {46G12, 58C35, 58D20, 60B11} ( 0 Dok.)
• 28C99 None of the above but in this section ( 0 Dok.)
• 28Dxx Measure-theoretic ergodic theory, See also {11K50, 11K55,22D40, 47A35, 54H20, 58Fxx, 60Fxx, 60G10} ( 0 Dok. )
• 28D05 Measure-preserving transformations ( 0 Dok.)
• 28D10 One-parameter continuous families of measure-preserving transformations ( 0 Dok.)
• 28D15 General groups of measure-preserving transformations ( 0 Dok.)
• 28D20 Entropy and other invariants ( 0 Dok.)
• 28D99 None of the above but in this section ( 0 Dok.)
• 28Exx Miscellaneous topics in measure theory ( 0 Dok. )
• 28E05 Nonstandard measure theory, See also {03H05, 26E35} ( 0 Dok.)
• 28E10 Fuzzy measure theory, See also {04A72, 26E50, 94D05} ( 0 Dok.)
• 28E15 Other connections with logic and set theory ( 0 Dok.)
• 28E99 None of the above but in this section ( 0 Dok.)