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
• 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
  • 57T05 Hopf algebras [See also 16W30]
  • 57T10 Homology and cohomology of Lie groups
  • 57T15 Homology and cohomology of homogeneous spaces of Lie groups
  • 57T20 Homotopy groups of topological groups and homogeneous spaces
  • 57T25 Homology and cohomology of H-spaces
  • 57T30 Bar and cobar constructions [See also 18G55, 55Uxx]
  • 57T35 Applications of Eilenberg-Moore spectral sequences [See also 55R20, 55T20]
  • 57T99 None of the above, but in this section

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