La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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54-XX General topology [For the topology of manifolds of all dimensions, see 57Nxx]

• 54-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 54-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 54-02 Research exposition (monographs, survey articles)
• 54-03 Historical (must also be assigned at least one classification number from Section 01)
• 54-04 Explicit machine computation and programs (not the theory of computation or programming)
• 54-06 Proceedings, conferences, collections, etc.
• 54-99 General topology (not classified at a more specific level)
• 54Axx Generalities
• 54Bxx Basic constructions
• 54Cxx Maps and general types of spaces defined by maps
• 54Dxx Fairly general properties
• 54Exx Spaces with richer structures
• 54Fxx Special properties
• 54Gxx Peculiar spaces
• 54Hxx Connections with other structures, applications
  • 54H05 Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) [See also 03E15, 26A21, 28A05]
  • 54H10 Topological representations of algebraic systems [See also 22-XX]
  • 54H11 Topological groups [See also 22A05]
  • 54H12 Topological lattices, etc. [See also 06B30, 06F30]
  • 54H13 Topological fields, rings, etc. [See also 12Jxx] [For algebraic aspects, see 13Jxx, 16W80]
  • 54H15 Transformation groups and semigroups [See also 20M20, 22-XX, 57Sxx]
  • 54H20 Topological dynamics [See also 28Dxx, 37Bxx]
  • 54H25 Fixed-point and coincidence theorems [See also 47H10, 55M20]
  • 54H99 None of the above, but in this section
• 54J05 Nonstandard topology [See also 03H05]

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