(CO)HOMOLOGY SELF-CLOSENESS NUMBERS OF SIMPLY-CONNECTED SPACES
文献类型：期刊论文
| 作者 | Li, Pengcheng |
| 刊名 | HOMOLOGY HOMOTOPY AND APPLICATIONS
 |
| 出版日期 | 2021 |
| 卷号 | 23期号:1页码:1-16 |
| 关键词 | self-homotopy equivalence self-closeness number cofibration |
| ISSN号 | 1532-0073 |
| DOI | 10.4310/HHA.2021.v23.n1.a1 |
| 英文摘要 | The (co)homology self-closeness number of a simply-connected based CW-complex X is the minimal number k such that any self-map f of X inducing an automorphism of the (co)homology groups for dimensions <= k is a self-homotopy equivalence. These two numbers are homotopy invariants and have a close relation with the group of self-homotopy equivalences. In this paper, we compare the (co)homology self-closeness numbers of spaces in certain cofibrations, define the mod p (co)homology self-closeness number of simply-connected p-local spaces with finitely generated homologies and study some properties of the (mod p) (co)homology self-closeness numbers. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000558159500001 |
| 出版者 | INT PRESS BOSTON, INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52000]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, Pengcheng |
| 作者单位 | Univ Chinese Acad Sci, Acad Math & Syst Sci, Chinese Acad Sci, Zhongguancun East Rd 55, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Pengcheng. (CO)HOMOLOGY SELF-CLOSENESS NUMBERS OF SIMPLY-CONNECTED SPACES[J]. HOMOLOGY HOMOTOPY AND APPLICATIONS,2021,23(1):1-16. |
| APA | Li, Pengcheng.(2021).(CO)HOMOLOGY SELF-CLOSENESS NUMBERS OF SIMPLY-CONNECTED SPACES.HOMOLOGY HOMOTOPY AND APPLICATIONS,23(1),1-16. |
| MLA | Li, Pengcheng."(CO)HOMOLOGY SELF-CLOSENESS NUMBERS OF SIMPLY-CONNECTED SPACES".HOMOLOGY HOMOTOPY AND APPLICATIONS 23.1(2021):1-16. |
入库方式： OAI收割
来源：数学与系统科学研究院
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