|
28-XX
|
Measure and integration
{For analysis on manifolds, see
58-XX}
|
|
28-00
|
General reference works (handbooks, dictionaries, bibliographies, etc.)
|
|
28-01
|
Instructional exposition (textbooks, tutorial papers, etc.)
|
|
28-02
|
Research exposition (monographs, survey articles)
|
|
28-03
|
Historical {!must also be assigned at least one classification number from section 01}
|
|
28-04
|
Explicit machine computation and programs (not the theory of computation or programming)
|
|
28-06
|
Proceedings, conferences, collections, etc.
|
|
28Axx
|
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
|
|
28Bxx
|
Set functions, measures and integrals with values in abstract spaces
|
|
28B05
|
Vector-valued set functions, measures and integrals
[See also
46G10]
|
|
28B10
|
Group- or semigroup-valued set functions, measures and integrals
|
|
28B15
|
Set functions, measures and integrals with values in ordered spaces
|
|
28B20
|
Set-valued set functions and measures; integration of set-valued functions; measurable selections
[See also
26E25,
54C60,
54C65,
91B14]
|
|
28B99
|
None of the above, but in this section
|
|
28Cxx
|
Set functions and measures on spaces with additional structure
[See also
46G12,
58C35,
58D20]
|
|
28C05
|
Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures
|
|
28C10
|
Set functions and measures on topological groups, Haar measures, invariant measures
[See also
22Axx,
43A05]
|
|
28C15
|
Set functions and measures on topological spaces (regularity of measures, etc.)
|
|
28C20
|
Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
[See also
46G12,
58C35,
58D20,
60B11]
|
|
28C99
|
None of the above, but in this section
|
|
28Dxx
|
Measure-theoretic ergodic theory
[See also
11K50,
11K55,
22D40,
47A35,
54H20,
37Axx,
60Fxx,
60G10]
|
|
28D05
|
Measure-preserving transformations
|
|
28D10
|
One-parameter continuous families of measure-preserving transformations
|
|
28D15
|
General groups of measure-preserving transformations
|
|
28D20
|
Entropy and other invariants
|
|
28D99
|
None of the above, but in this section
|
|
28Exx
|
Miscellaneous topics in measure theory
|
|
28E05
|
Nonstandard measure theory
[See also
03H05,
26E35]
|
|
28E10
|
Fuzzy measure theory
[See also
03E72,
26E50,
94D05]
|
|
28E15
|
Other connections with logic and set theory
|
|
28E99
|
None of the above, but in this section
|