La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour aux chapitres de la classification 55-XX Algebraic topology
- 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.
- 55-99 Algebraic topology (not classified at a more specific level)
- 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
- 55S05 Primary cohomology operations
- 55S10 Steenrod algebra
- 55S12 Dyer-Lashof operations
- 55S15 Symmetric products, cyclic products
- 55S20 Secondary and higher cohomology operations
- 55S25 K-theory operations and generalized cohomology operations [See also 19D55, 19Lxx]
- 55S30 Massey products
- 55S35 Obstruction theory
- 55S36 Extension and compression of mappings
- 55S37 Classification of mappings
- 55S40 Sectioning fiber spaces and bundles
- 55S45 Postnikov systems, k-invariants
- 55S91 Equivariant operations and obstructions [See also 19L47]
- 55S99 None of the above, but in this section
- 55Txx Spectral sequences [See also 18G40, 55R20]
- 55Uxx Applied homological algebra and category theory [See also 18Gxx]
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