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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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58-XX Global analysis, analysis on manifolds {For geometric integration theory, see 49Q15} → ZMATH
58Axx General theory of differentiable manifolds [See also 32Cxx] → ZMATH
58A03 Topos-theoretic approach to differentiable manifolds → ZMATH
58A05 Differentiable manifolds, foundations → ZMATH
58A07 Real-analytic and Nash manifolds [See also 14P20, 32C07] → ZMATH
58A10 Differential forms → ZMATH
58A12 de Rham theory [See also 14Fxx] → ZMATH
58A14 Hodge theory [See also 14C30, 14Fxx, 32J25, 32S35] → ZMATH
58A15 Exterior differential systems (Cartan theory) → ZMATH
58A17 Pfaffian systems → ZMATH
58A20 Jets → ZMATH
58A25 Currents [See also 32C30, 53C65] → ZMATH
58A30 Vector distributions (subbundles of the tangent bundles) → ZMATH
58A32 Natural bundles → ZMATH
58A35 Stratified sets [See also 32S60] → ZMATH
58A40 Differential spaces → ZMATH
58A50 Supermanifolds and graded manifolds [See also 14A22, 32C11] → ZMATH
58A99 None of the above, but in this section → ZMATH
Abel prize 2010
I. M. Gelfand 1913-2009

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