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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)
• 7
  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)
• 55
  55-06
  Proceedings, conferences, collections, etc.
• 8
  (+26)
  55Mxx
  Classical topics
  {For the topology of Euclidean spaces and manifolds, see 57Nxx}
• 41
  (+26)
  55Nxx
  Homology and cohomology theories
  [See also 57Txx]
• 48
  (+33)
  55Pxx
  Homotopy theory
  {For simple homotopy type, see 57Q10}
• 15
  (+6)
  55Qxx
  Homotopy groups
• 22
  (+12)
  55Rxx
  Fiber spaces and bundles
  [See also 18F15, 32Lxx, 46M20, 57R20, 57R22, 57R25]
• 6
  (+15)
  55Sxx
  Operations and obstructions
• 10
  (+5)
  55Txx
  Spectral sequences
  [See also 18G40, 55R20]
• 26
  (+21)
  55Uxx
  Applied homological algebra and category theory
  [See also 18Gxx]