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C [infinity]-differentiable spaces

Author: Juan A Navarro González; Juan B Sancho de Salas
Publisher: Berlin ; New York : Springer-Verlag, ©2003.
Series: Lecture notes in mathematics (Springer-Verlag), 1824.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Navarro González, Juan A., 1956-
C [infinity]-differentiable spaces.
Berlin ; New York : Springer-Verlag, ©2003
(DLC) 2003066694
(OCoLC)53186670
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Juan A Navarro González; Juan B Sancho de Salas
ISBN: 9783540396659 3540396659
OCLC Number: 53925502
Notes: On t.p. [infinity] appears as the infinity symbol at superscript position.
Description: 1 online resource (xiii, 188 pages).
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 Frchet Modules --
B. Space of Jets --
References --
Index.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1824.
Other Titles: C-differentiable spaces
Responsibility: Juan A. Navarro González, Juan B. Sancho de Salas.
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Abstract:

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  Read more...

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