55-XX | 54 | Top | 57 |
| 55-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) |
| 55-01 | Instructional exposition (textbooks, tutorial papers, etc.) |
| 55-02 | Research exposition (monographs, survey articles) |
| 55-03 | Historical (must also be assigned at least one classification number from Section 01) |
| 55-04 | Explicit machine computation and programs (not the theory of computation or programming) |
| 55-06 | Proceedings, conferences, collections, etc. |
| 55Mxx | Classical topics {For the topology of Euclidean spaces and manifolds, see 57Nxx} |
| 55Nxx | Homology and cohomology theories [See also 57Txx] |
| 55Pxx | Homotopy theory {For simple homotopy type, see 57Q10} |
| 55Qxx | Homotopy groups |
| 55Rxx | Fiber spaces and bundles [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25] |
| 55Sxx | Operations and obstructions |
| 55Txx | Spectral sequences [See also 18G40, 55R20] |
| 55Uxx | Applied homological algebra and category theory [See also 18Gxx] |