Models for Smooth Infinitesimal Analysis - Hardcover

Reyes, Gonzalo E.; Moerdijk, Ieke

 
9780387974897: Models for Smooth Infinitesimal Analysis

Inhaltsangabe

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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Reseña del editor

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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9781441930958: Models for Smooth Infinitesimal Analysis

Vorgestellte Ausgabe

ISBN 10:  1441930957 ISBN 13:  9781441930958
Verlag: Springer, 2010
Softcover