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Mathematical Sciences Classification System

57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}

• 2
  57-00
  General reference works (handbooks, dictionaries, bibliographies, etc.)
• 71
  57-01
  Instructional exposition (textbooks, tutorial papers, etc.)
• 6
  57-02
  Research exposition (monographs, survey articles)
• 23
  57-03
  Historical (must also be assigned at least one classification number from Section 01)
• 57-04
  Explicit machine computation and programs (not the theory of computation or programming)
• 146
  57-06
  Proceedings, conferences, collections, etc.
• 86
  (+191)
  57Mxx
  Low-dimensional topology
• 25
  (+48)
  57Nxx
  Topological manifolds
• 1
  (+2)
  57Pxx
  Generalized manifolds
  [See also 18F15]
• 7
  (+28)
  57Qxx
  PL-topology
• 89
  (+119)
  57Rxx
  Differential topology
  {For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx}
• 22
  (+10)
  57Sxx
  Topological transformation groups
  [See also 20F34, 22-XX, 37-XX, 54H15, 58D05]
• 10
  (+7)
  57Txx
  Homology and homotopy of topological groups and related structures