Models for Smooth Infinitesimal Analysis (Paperback) (ISBN-13: 9781441930958)

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.

Author: Ieke Moerdijk, Gonzalo E. Reyes
ISBN-10: 1441930957
ISBN-13: 9781441930958
Publisher: Springer
Language: English
Published: 12/01/2010
Pages: 400
Format: Paperback
Weight: 1.27lbs
Size: 9.21h x 6.14w x 0.84d