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Mathematics Subject Classification 1991
28-XX Measure and integration, {For analysis on manifolds, See 58-XX}
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28-00
General reference works (handbooks, dictionaries, bibliographies, etc.)
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28-01
Instructional exposition (textbooks, tutorial papers, etc.)
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28-02
Research exposition (monographs, survey articles)
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28-03
Historical (must be assigned at least one classification number from Section 01)
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28-04
Explicit machine computation and programs (not the theory of computation or programming)
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28-06
Proceedings, conferences, collections, etc.
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28Axx Classical measure theory
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28A05
Classes of sets (Borel fields, $sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets, See Also { 03E15, 04A15, 26A21, 54H05}
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28A10
Real- or complex-valued set functions
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28A12
Contents, measures, outer measures, capacities
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28A15
Abstract differentiation theory, differentiation of set functions, See also {26A24}
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28A20
Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
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28A25
Integration with respect to measures and other set functions
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28A33
Spaces of measures, convergence of measures, See Also { 46E27, 60Bxx}
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28A35
Measures and integrals in product spaces
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28A50
Integration and disintegration of measures
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28A51
Lifting theory, See also {46G15}
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28A60
Measures on Boolean rings, measure algebras, See Also { 54H10}
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28A75
Length, area, volume, other geometric measure theory, See also {26B15, 49Q15}
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28A78
Hausdorff measures
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28A80
Fractals, See also {58Fxx}
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28A99
None of the above but in this section
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28Bxx Set functions, measures and integrals with values in abstract spaces
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28B05
Vector-valued set functions, measures and integrals, See also {46G10}
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28B10
Group- or semigroup-valued set functions, measures and integrals
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28B15
Set functions, measures and integrals with values in ordered spaces
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28B20
Set-valued set functions and measures; integration of set-valued functions; measurable selections, See Also { 26E25, 54C60, 54C65, 90A14}
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28B99
None of the above but in this section
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28Cxx Set functions and measures on spaces with additional structure, See also {46G12, 58C35, 58D20}
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28C05
Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures
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28C10
Set functions and measures on topological groups, Haar measures, invariant measures, See also {22Axx, 43A05}
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28C15
Set functions and measures on topological spaces (regularity of measures, etc.)
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28C20
Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.), See also {46G12, 58C35, 58D20, 60B11}
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28C99
None of the above but in this section
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28Dxx Measure-theoretic ergodic theory, See also {11K50, 11K55,22D40, 47A35, 54H20, 58Fxx, 60Fxx, 60G10}
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28D05
Measure-preserving transformations
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28D10
One-parameter continuous families of measure-preserving transformations
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28D15
General groups of measure-preserving transformations
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28D20
Entropy and other invariants
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28D99
None of the above but in this section
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28Exx Miscellaneous topics in measure theory
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28E05
Nonstandard measure theory, See also {03H05, 26E35}
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28E10
Fuzzy measure theory, See also {04A72, 26E50, 94D05}
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28E15
Other connections with logic and set theory
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28E99
None of the above but in this section
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Letzte Änderung: 10. Nov. 2010