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C^infinity - Differentiable Spaces (Lecture Notes in Mathematics, 1824) by Juan A. Navarro González, Juan B. Sancho de Salas is a nonfiction available to read on EtoBox.

What is C^infinity - Differentiable Spaces (Lecture Notes in Mathematics, 1824) about?

<p><P>The volume develops the foundations of differential geometry so as to include finite-dimensional spaces with singularities and nilpotent functions, at the same level as is standard in the elementary theory of schemes and analytic spaces. The theory of differentiable spaces is developed to the point of providing a handy tool including arbitrary base changes (hence fibred products, intersections and fibres of morphisms), infinitesimal neighbourhoods, sheaves of relative differentials, quotients by actions of compact Lie groups and a theory of sheaves of Fr&#233;chet modules paralleling the useful theory of quasi-coherent sheaves on schemes. These notes fit naturally in the theory of Csub\infinity-rings and Csub\infinity-schemes, as well as in the framework of Spallek&#8217;s Csub\infinity-standard differentiable spaces, and they require a certain familiarity with commutative algebra, sheaf theory, rings of differentiable functions and Fr&#233;chet spaces.</p>

Who reads C^infinity - Differentiable Spaces (Lecture Notes in Mathematics, 1824)?

Author

Juan A. Navarro González, Juan B. Sancho de Salas

Publisher

Springer Spektrum. in Springer-Verlag GmbH

Published

2004

Language

EN

ISBN

9783540396659

Category

nonfiction

Subjects

Mathematics, Stem