Mathematical Sciences Classification System

55-XX - Algebraic topology

  • 55-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 52
    55-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 5
    55-02
    Research exposition (monographs, survey articles)
  • 6
    55-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 1
    55-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 54
    55-06
    Proceedings, conferences, collections, etc.
  • 8
    (+26)
    Classical topics
    {For the topology of Euclidean spaces and manifolds, see 57Nxx}
  • 41
    (+26)
    Homology and cohomology theories
    [See also 57Txx]
  • 47
    (+33)
    Homotopy theory
    {For simple homotopy type, see 57Q10}
  • 15
    (+6)
    Homotopy groups
  • 22
    (+12)
    Fiber spaces and bundles
    [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25]
  • 5
    (+15)
    Operations and obstructions
  • 10
    (+4)
    Spectral sequences
    [See also 18G40, 55R20]
  • 25
    (+20)
    Applied homological algebra and category theory
    [See also 18Gxx]

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