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Models for Smooth Infinitesimal Analysis

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Models for Smooth Infinitesimal Analysis - Moerdijk, Ieke, and Reyes, Gonzalo E.
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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 ...

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Models for Smooth Infinitesimal Analysis 2010, Springer-Verlag New York Inc., New York, NY

ISBN-13: 9781441930958

Paperback

Models for Smooth Infinitesimal Analysis 1990, Springer, New York, NY

ISBN-13: 9780387974897

1991 edition

Hardcover