Models for Smooth Infinitesimal Analysis - Softcover

Moerdijk, Ieke; Reyes, Gonzalo E.

 
9781441930958: Models for Smooth Infinitesimal Analysis

Synopsis

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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Other Popular Editions of the Same Title

9780387974897: Models for Smooth Infinitesimal Analysis

Featured Edition

ISBN 10:  038797489X ISBN 13:  9780387974897
Publisher: Springer, 1990
Hardcover