Models for smooth infinitesimal analysis
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Author
Contributions
- Reyes, Gonzalo E., 1937- - Contributor
Publication
1991 - Springer-Verlag, New York, New York (State)
Language
English
Word Count
99,750 words, Guess
Page Count
399 pages
Identifiers
- Open LibraryOL1867069M
- ISBN-10038797489X
- OCLC Control Number22911258
- OCLC Control Numbermodelsforsmoothi00moer
- Library of Congress Control Number90025237
and 2 more
- LibraryThing7999799
- Goodreads2356734
Classifications
- DDC515
- LCCQA299.82 .M64 1991
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.
Subjects
Other Editions
- Models for smooth infinitesimal analysis
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