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Mathematical Sciences Classification System

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

• 5
  19-00
  General reference works (handbooks, dictionaries, bibliographies, etc.)
• 4
  19-01
  Instructional exposition (textbooks, tutorial papers, etc.)
• 4
  19-02
  Research exposition (monographs, survey articles)
• 1
  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)
• 22
  19-06
  Proceedings, conferences, collections, etc.
• 3
  (+3)
  19Axx
  Grothendieck groups and $K_0$
  [See also 13D15, 18F30]
• (+2)
  19Bxx
  Whitehead groups and $K_1$
• 3
  (+2)
  19Cxx
  Steinberg groups and $K_2$
• 9
  (+18)
  19Dxx
  Higher algebraic $K$-theory
• 3
  (+11)
  19Exx
  $K$-theory in geometry
• 2
  (+2)
  19Fxx
  $K$-theory in number theory
  [See also 11R70, 11S70]
• (+2)
  19Gxx
  $K$-theory of forms
  [See also 11Exx]
• (+4)
  19Jxx
  Obstructions from topology
• 16
  (+9)
  19Kxx
  $K$-theory and operator algebras
  [See mainly 46L80, and also 46M20]
• 4
  (+7)
  19Lxx
  Topological $K$-theory
  [See also 55N15, 55R50, 55S25]
• (+2)
  19Mxx
  Miscellaneous applications of $K$-theory