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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 28 | Measure and integration | ||
| 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 | ||
| 28-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 28-06 | Proceedings, conferences, collections, etc. | ||
| 28-99 | Measure and integration (not classified at a more specific level) | ||
| 28A | 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 | ||
| 28B | 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 | ||
| 28C | 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 | ||
| 28D | Measure-theoretic ergodic theory [See also 11K50, 11K55, 22D40, 37Axx, 47A35, 54H20, 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 | ||
| 28E | 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 | ||
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