La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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19-XX $K$-theory [See also 16E20, 18F25]

• 19-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 19-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 19-02 Research exposition (monographs, survey articles)
• 19-03 Historical (must also be assigned at least one classification number from Section 01)
• 19-04 Explicit machine computation and programs (not the theory of computation or programming)
• 19-06 Proceedings, conferences, collections, etc.
• 19-99 General (not classified at a more specific level)
• 19Axx Grothendieck groups and K₀ [See also 13D15, 18F30]
• 19Bxx Whitehead groups and K₁
• 19Cxx Steinberg groups and K₂
  • 19C09 Central extensions and Schur multipliers
  • 19C20 Symbols, presentations and stability of K₂
  • 19C30 K₂ and the Brauer group
  • 19C40 Excision for K₂
  • 19C99 None of the above, but in this section
• 19Dxx Higher algebraic K-theory
• 19Exx K-theory in geometry
• 19Fxx K-theory in number theory [See also 11R70, 11S70]
• 19Gxx K-theory of forms [See also 11Exx]
• 19Jxx Obstructions from topology
• 19Kxx K-theory and operator algebras [See mainly 46L80, and also 46M20]
• 19Lxx Topological K-theory [See also 55N15, 55R50, 55S25]
• 19M05 Miscellaneous applications of K-theory

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