La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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57-XX Manifolds and cell complexes [For complex manifolds, see 32Qxx]

• 57-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 57-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 57-02 Research exposition (monographs, survey articles)
• 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)
• 57-06 Proceedings, conferences, collections, etc.
• 57-99 Manifolds and cell complexes (not classified at a more specific level)
• 57Mxx Low-dimensional topology
• 57Nxx Topological manifolds
• 57Pxx Generalized manifolds [See also 18F15]
• 57Qxx PL-topology
  • 57Q05 General topology of complexes
  • 57Q10 Simple homotopy type, Whitehead torsion, Reidemeister-Franz torsion, etc. [See also 19B28]
  • 57Q12 Wall finiteness obstruction for CW-complexes
  • 57Q15 Triangulating manifolds
  • 57Q20 Cobordism
  • 57Q25 Comparison of PL-structures: classification, Hauptvermutung
  • 57Q30 Engulfing
  • 57Q35 Embeddings and immersions
  • 57Q37 Isotopy
  • 57Q40 Regular neighborhoods
  • 57Q45 Knots and links (in high dimensions) [For the low-dimensional case, see 57M25]
  • 57Q50 Microbundles and block bundles [See also 55R60, 57N55]
  • 57Q55 Approximations
  • 57Q60 Cobordism and concordance
  • 57Q65 General position and transversality
  • 57Q91 Equivariant PL-topology
  • 57Q99 None of the above, but in this section
• 57Rxx Differential topology [For foundational questions of differentiable manifolds, see 58Axx; for infinite-dimensional manifolds, see 58Bxx]
• 57Sxx Topological transformation groups [See also 20F34, 22-XX, 37-XX, 54H15, 58D05]
• 57Txx Homology and homotopy of topological groups and related structures

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