La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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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
  • 55Q05 Homotopy groups, general; sets of homotopy classes
  • 55Q07 Shape groups
  • 55Q10 Stable homotopy groups
  • 55Q15 Whitehead products and generalizations
  • 55Q20 Homotopy groups of wedges, joins, and simple spaces
  • 55Q25 Hopf invariants
  • 55Q35 Operations in homotopy groups
  • 55Q40 Homotopy groups of spheres
  • 55Q45 Stable homotopy of spheres
  • 55Q50 J-morphism [See also 19L20]
  • 55Q51 v_n-periodicity [Nouveau code MSC 2000]
    • Codes MSC1991 affiliés : 55P42, 55Q10, 55N22, 55N20
  • 55Q52 Homotopy groups of special spaces
  • 55Q55 Cohomotopy groups
  • 55Q70 Homotopy groups of special types [See also 55N05, 55N07]
  • 55Q91 Equivariant homotopy groups [See also 19L47]
  • 55Q99 None of the above, but in this section
• 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]

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