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Models for Smooth Infinitesimal Analysis

Name: Models for Smooth Infinitesimal Analysis
Brand: Springer-Verlag New York Inc.
SKU: 01385226
Price: 181.49 EUR
Availability: InStock
Author: Ieke Moerdijk
ISBN: 9780387974897

Ieke Moerdijk

Gonzalo E. Reyes

Language

English

Book Hardback

Libristo code: 01385226

Publishers Springer-Verlag New York Inc., December 1990

The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in... Full description

Libristo code: 01385226

444 b

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The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C?-manifolds will be explained.