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)
  • 22
    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)
  • 143
    57-06
    Proceedings, conferences, collections, etc.
  • 85
    (+189)
    Low-dimensional topology
  • 25
    (+48)
    Topological manifolds
  • 1
    (+2)
    Generalized manifolds
    [See also 18F15]
  • 7
    (+28)
    PL-topology
  • 89
    (+116)
    Differential topology
    {For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx}
  • 22
    (+10)
    Topological transformation groups
    [See also 20F34, 22-XX, 37-XX, 54H15, 58D05]
  • 10
    (+7)
    Homology and homotopy of topological groups and related structures

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