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Please note that in the second half of 2009, MSC2010 is deployed in the production of ZMATH and will become official standard in January 2010.

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18-XX Category theory; homological algebra {For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology} → ZMATH
18Fxx Categories and geometry → ZMATH
18F05 Local categories and functors → ZMATH
18F10 Grothendieck topologies [See also 14F20] → ZMATH
18F15 Abstract manifolds and fiber bundles [See also 55Rxx, 57Pxx] → ZMATH
18F20 Presheaves and sheaves [See also 14F05, 32C35, 32L10, 54B40, 55N30] → ZMATH
18F25 Algebraic $K$-theory and $L$-theory [See also 11Exx, 11R70, 11S70, 12-XX, 13D15, 14Cxx, 16E20, 19-XX, 46L80, 57R65, 57R67] → ZMATH
18F30 Grothendieck groups [See also 13D15, 16E20, 19Axx] → ZMATH
18F99 None of the above, but in this section → ZMATH
Abel prize 2010
I. M. Gelfand 1913-2009

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