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)
    Grothendieck groups and $K_0$
    [See also 13D15, 18F30]
  • (+2)
    Whitehead groups and $K_1$
  • 3
    (+2)
    Steinberg groups and $K_2$
  • 9
    (+17)
    Higher algebraic $K$-theory
  • 3
    (+10)
    $K$-theory in geometry
  • 2
    (+2)
    $K$-theory in number theory
    [See also 11R70, 11S70]
  • (+2)
    $K$-theory of forms
    [See also 11Exx]
  • (+4)
    Obstructions from topology
  • 16
    (+9)
    $K$-theory and operator algebras
    [See mainly 46L80, and also 46M20]
  • 4
    (+7)
    Topological $K$-theory
    [See also 55N15, 55R50, 55S25]
  • (+2)
    Miscellaneous applications of $K$-theory

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