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Models for Smooth Infinitesimal Analysis

Name: Models for Smooth Infinitesimal Analysis
Brand: Filiquarian Publishing
SKU: 23391223
Price: 4230.00 ZAR
Availability: InStock

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Features

Author	Ieke Moerdijk , Gonzalo E. Reyes
Format	Hardcover
ISBN	9780387974897
Publication Date	17/05/2009
Publisher	Springer
Manufacturer	Filiquarian Publishing

Description

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.

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