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25 Remote Warehouse Mathematics- Analysis General

Other titles in the Lecture Notes in Mathematics series:

Lecture Notes in Mathematics #1824: C\Infinity - Differentiable Spaces

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Lecture Notes in Mathematics #1824: C\Infinity - Differentiable Spaces Cover

 

Synopses & Reviews

Publisher Comments:

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 Fréchet modules paralleling the useful theory of quasi-coherent sheaves on schemes. These notes fit naturally in the theory of C^\infinity-rings and C^\infinity-schemes, as well as in the framework of Spallek's C^\infinity-standard differentiable spaces, and they require a certain familiarity with commutative algebra, sheaf theory, rings of differentiable functions and Fréchet spaces.

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.

Product Details

ISBN:
9783540200727
Author:
Navarro Gonzalez, Juan B.
Publisher:
Springer
Author:
Juan B. Sancho de Salas
Author:
Juan A. Navarro González
Author:
Navarro Gonzlez, Juan A.
Author:
Sancho de Salas, Juan B.
Author:
Juan A. Navarro Gonzlez
Author:
Navarro González, Juan A.
Location:
Berlin, Heidelberg
Subject:
Algebraic spaces
Subject:
Differentiable manifolds
Subject:
Topological rings.
Subject:
Mathematical Analysis
Subject:
Geometry - Differential
Subject:
Algebra - General
Subject:
Algebra - Abstract
Subject:
58A40, 58A05, 13J99
Subject:
differebtiable algebras
Subject:
differentiable spaces
Subject:
Global Analysis and Analysis on Manifolds
Subject:
Commutative Rings and Algebras
Subject:
Mathematics-Analysis General
Subject:
Mathematics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Global analysis.
Subject:
Algebra
Copyright:
Edition Description:
Book
Series:
Lecture Notes in Mathematics
Series Volume:
1824
Publication Date:
20040112
Binding:
TRADE PAPER
Language:
English
Pages:
201
Dimensions:
235 x 155 mm 670 gr

Related Subjects

Health and Self-Help » Psychology » General
Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Differential Geometry

Lecture Notes in Mathematics #1824: C\Infinity - Differentiable Spaces New Trade Paper
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