C [infinity]-differentiable spaces

Authors:Juan Antonio Navarro González, Juan Bautista Sancho de Salas

Summary: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.

Print Book, English, 2003

Edition:View all formats and editions

Publisher: Springer-Verlag, Berlin, 2003

Series:

Lecture notes in mathematics, 1824

Physical Description:XIII, 188 p. ; 24 cm.

ISBN:

9783540200727, 354020072X

OCLC Number / Unique Identifier:641642056

Subjects:

Algebraic spaces

Anillos topológicos

Anneaux topologiques

Differentiable manifolds

Espaces algébriques

Espacios algebraicos

Topological rings

Variedades diferenciables

Variétés différentiables

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.

Notes:

Índice