C^\infinity - Differentiable Spaces

• Main Authors: Navarro González, Juan A. (Author, http://id.loc.gov/vocabulary/relators/aut), Sancho de Salas, Juan B. (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Edition: 1st ed. 2003.
• Series: Lecture Notes in Mathematics, 1824
• Subjects: Global analysis (Mathematics).; Manifolds (Mathematics).; Commutative algebra.; Commutative rings.; Global Analysis and Analysis on Manifolds.; Commutative Rings and Algebras.

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...

Table of Contents:

• Introduction
• 1. Differentiable Manifolds
• 2. Differentiable Algebras
• 3. Differentiable Spaces
• 4. Topology of Differentiable Spaces
• 5. Embeddings
• 6. Topological Tensor Products
• 7. Fibred Products
• 8. Topological Localization
• 9. Finite Morphisms
• 10. Smooth Morphisms
• 11. Quotients by Compact Lie Groups
• A. Sheaves of Fréchet Modules
• B. Space of Jets
• References
• Index.