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$K$-theory
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- 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.
- 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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