Cancellation and homotopy rigidity of classical functors
文献类型：期刊论文
| 作者 | Huang, Ruizhi1; Wu, Jie2 |
| 刊名 | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
 |
| 出版日期 | 2019-02-01 |
| 卷号 | 99期号:1页码:225-248 |
| ISSN号 | 0024-6107 |
| DOI | 10.1112/jlms.12167 |
| 英文摘要 | We first show that simply connected co-H-spaces and connected H-spaces can be uniquely decomposed into prime factors in the homotopy category of pointed p-local spaces of finite type. This is used to develop a p-local version of Gray's correspondence between homotopy types of prime co-H-spaces and homotopy types of prime H-spaces, and the split fibration which connects them as well. Further, we use the unique decomposition theorem to study the homotopy rigidity problem for classic functors. Among others, we prove that Sigma Omega and Omega are homotopy rigid on simply connected p-local co-H-spaces of finite type, and Omega Sigma and Sigma are homotopy rigid on connected p-local H-spaces of finite type. |
| 资助项目 | Chinese Postdoctoral Science Foundation[2018M631605] ; Singapore Ministry of Education research grant (AcRF Tier 1 WBS)[R-146-000-222-112] ; NSFC of China[11329101] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000457652800010 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32377]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huang, Ruizhi |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Siyuan Bldg 55 East Zhongguancun Rd, Beijing 100190, Peoples R China 2.Natl Univ Singapore, Dept Math, 2Block S17 SOC1,06-02,10 Lower Kent Ridge Rd, Singapore 119076, Singapore |
| 推荐引用方式 GB/T 7714 | Huang, Ruizhi,Wu, Jie. Cancellation and homotopy rigidity of classical functors[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES,2019,99(1):225-248. |
| APA | Huang, Ruizhi,&Wu, Jie.(2019).Cancellation and homotopy rigidity of classical functors.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES,99(1),225-248. |
| MLA | Huang, Ruizhi,et al."Cancellation and homotopy rigidity of classical functors".JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 99.1(2019):225-248. |
入库方式： OAI收割
来源：数学与系统科学研究院
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