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...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2003.
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Έκδοση: | 1st ed. 2003. |
Σειρά: | Lecture Notes in Mathematics,
1824 |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.