C \infinity - Differentiable Spaces
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...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003, 2003
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| Edition: | 1st ed. 2003 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
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