Gluing pseudo functors via n-fold categories
文献类型：期刊论文
| 作者 | Zheng, Weizhe
|
| 刊名 | JOURNAL OF HOMOTOPY AND RELATED STRUCTURES
 |
| 出版日期 | 2017-03-01 |
| 卷号 | 12期号:1页码:189-271 |
| 关键词 | Pseudo functor Gluing data 2-Category n-Fold category Hypercube |
| ISSN号 | 2193-8407 |
| DOI | 10.1007/s40062-016-0126-2 |
| 英文摘要 | Gluing of two pseudo functors has been studied by Deligne, Ayoub, and others in the construction of extraordinary direct image functors in etale cohomology, stable homotopy, and mixed motives of schemes. In this article, we study more generally the gluing of finitely many pseudo functors. Given pseudo functors F-i : A(i) -> D defined on sub-2-categories A(i) of a 2-category C, we are concerned with the problem of finding pseudo functors C -> D extending F-i up to pseudo natural equivalences. With the help of n-fold categories, we organize gluing data for n pseudo functors into 2-categories. We establish general criteria for equivalence between such 2-categories for n pseudo functors and for n - 1 pseudo functors, which can be applied inductively to the gluing problem. Results of this article are used in Zheng (Sci China Math 58(3): 565-632, 2015) to construct extraordinary direct image functors in etale cohomology of Deligne-Mumford stacks. |
| 语种 | 英语 |
| WOS记录号 | WOS:000401575900008 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/25320]  |
| 专题 | 数学所 |
| 通讯作者 | Zheng, Weizhe |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zheng, Weizhe. Gluing pseudo functors via n-fold categories[J]. JOURNAL OF HOMOTOPY AND RELATED STRUCTURES,2017,12(1):189-271. |
| APA | Zheng, Weizhe.(2017).Gluing pseudo functors via n-fold categories.JOURNAL OF HOMOTOPY AND RELATED STRUCTURES,12(1),189-271. |
| MLA | Zheng, Weizhe."Gluing pseudo functors via n-fold categories".JOURNAL OF HOMOTOPY AND RELATED STRUCTURES 12.1(2017):189-271. |
入库方式： OAI收割
来源：数学与系统科学研究院
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