ENGLISH

Models for smooth infinitesimal analysis

By Ieke Moerdijk , Gonzalo E. Reyes

Book information

Publisher
Springer-Verlag
Year
1991
ISBN
038797489X, 9780387974897, 354097489X
LCC
QA299.82 .M64 1991
Open Library ID
OL1867069M
Language
english
Format
DJVU
Filesize
3 MB (2935283 bytes)
Edition
1
Pages
408\408
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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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