### 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 be assigned at least one classification number from 01-XX)
- 19-04 Explicit machine computation and programs (not the theory of computation or programming)
- 19-06 Proceedings, conferences, collections, etc.
- 19Axx Grothendieck groups and $K_0$, see also {13D15, 18F30}
- 19Bxx Whitehead groups and $K_1$
- 19Cxx Steinberg groups and $K_2$
- 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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