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G-categories.
・ISBN 978-0-8218-2543-3 paper US$ 37.00
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| 著者・編者 | Gordon, Robert, |
|---|---|
| シリーズ | Memoirs of the American Mathematical Society |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 1993 |
| ページ数 | 129 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-15042＞ |
解説
A $G$-category is a category on which a group $G$ acts. This work studies the $2$-category $G$-Cat of $G$-categories, $G$-functors (functors which commute with the action of $G$) and $G$-natural transformations (natural transformations which commute with the $G$-action). There is particular emphasis on the relationship between a $G$-category and its stable subcategory, the largest sub-$G$-category on which $G$ operates trivially. Also contained here are some very general applications of the theory to various additive $G$-categories and to $G$-topoi.