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Models for Smooth Infinitesimal Analysis

Models for Smooth Infinitesimal Analysis

by Ieke Moerdijk and Gonzalo E. Reyes
Hardback
Publication Date: 17/12/1990

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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 will be explained.
ISBN:
9780387974897
9780387974897
Category:
Calculus & mathematical analysis
Format:
Hardback
Publication Date:
17-12-1990
Language:
English
Publisher:
Springer-Verlag New York Inc.
Country of origin:
United States
Pages:
400
Dimensions (mm):
235x155x23mm
Weight:
1.66kg

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