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Navegando por la clasificación temática MSC 2000: 19 · $K$-theory
19 $K$-theory
  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
  19-04 Explicit machine computation and programs (not the theory of computation or programming)
  19-06 Proceedings, conferences, collections, etc.
  19-99 $K$-theory (not classified at a more specific level)
  19A Grothendieck groups and $K_0$ [See also 13D15, 18F30]
    19A13 Stability for projective modules [See also 13C10]
    19A15 Efficient generation
    19A22 Frobenius induction, Burnside and representation rings
    19A31 $K_0$ of group rings and orders
    19A49 $K_0$ of other rings
    19A99 None of the above, but in this section
  19B Whitehead groups and $K_1$
    19B10 Stable range conditions
    19B14 Stability for linear groups
    19B28 $K_1$ of group rings and orders [See also 57Q10]
    19B37 Congruence subgroup problems [See also 20H05]
    19B99 None of the above, but in this section
  19C Steinberg groups and $K_2$
    19C09 Central extensions and Schur multipliers
    19C20 Symbols, presentations and stability of $K_2$
    19C30 $K_2$ and the Brauer group
    19C40 Excision for $K_2$
    19C99 None of the above, but in this section
  19D Higher algebraic $K$-theory
    19D06 $Q$- and plus-constructions
    19D10 Algebraic $K$-theory of spaces
    19D23 Symmetric monoidal categories [See also 18D10]
    19D25 Karoubi-Villamayor-Gersten $K$-theory
    19D35 Negative $K$-theory, NK and Nil
    19D45 Higher symbols, Milnor $K$-theory
    19D50 Computations of higher $K$-theory of rings [See also 13D15, 16E20]
    19D55 $K$-theory and homology; cyclic homology and cohomology [See also 18G60]
    19D99 None of the above, but in this section
  19E $K$-theory in geometry
    19E08 $K$-theory of schemes [See also 14C35]
    19E15 Algebraic cycles and motivic cohomology [See also 14C25, 14C35]
    19E20 Relations with cohomology theories [See also 14Fxx]
    19E99 None of the above, but in this section
  19F $K$-theory in number theory [See also 11R70, 11S70]
    19F05 Generalized class field theory [See also 11G45]
    19F15 Symbols and arithmetic [See also 11R37]
    19F27 Étale cohomology, higher regulators, zeta and $L$-functions [See also 11G40, 11R42, 11S40, 14F20, 14G10]
    19F99 None of the above, but in this section
  19G $K$-theory of forms [See also 11Exx]
    19G05 Stability for quadratic modules
    19G12 Witt groups of rings [See also 11E81]
    19G24 $L$-theory of group rings [See also 11E81]
    19G38 Hermitian $K$-theory, relations with $K$-theory of rings
    19G99 None of the above, but in this section
  19J Obstructions from topology
    19J05 Finiteness and other obstructions in $K_0$
    19J10 Whitehead (and related) torsion
    19J25 Surgery obstructions [See also 57R67]
    19J35 Obstructions to group actions
    19J99 None of the above, but in this section
  19K $K$-theory and operator algebras [See mainly 46L80, and also 46M20]
    19K14 $K_0$ as an ordered group, traces
    19K33 EXT and $K$-homology [See also 55N22]
    19K35 Kasparov theory ($KK$-theory) [See also 58J22]
    19K56 Index theory [See also 58J20, 58J22]
    19K99 None of the above, but in this section
  19L Topological $K$-theory [See also 55N15, 55R50, 55S25]
    19L10 Riemann-Roch theorems, Chern characters
    19L20 $J$-homomorphism, Adams operations [See also 55Q50]
    19L41 Connective $K$-theory, cobordism [See also 55N22]
    19L47 Equivariant $K$-theory [See also 55N91, 55P91, 55Q91, 55R91, 55S91]
    19L64 Computations, geometric applications
    19L99 None of the above, but in this section
  19M05 Miscellaneous applications of $K$-theory

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