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Models for Smooth Infinitesimal Analysis. 1991 ed..
・ISBN 978-0-387-97489-7 hard EUR 149.99
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| 著者・編者 | Moerdijk, Ieke / Reyes, Gonzalo E., |
|---|---|
| 出版社 | (Springer-Verlag New York Inc., US) |
| 出版年月 | 1990 |
| ページ数 | 400 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-20746＞ |
解説
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.