Gottlieb groups and subgroups of the group of self-homotopy equivalences
文献类型：期刊论文
| 作者 | Kim, Jae-Ryong; Oda, Nobuyuki; Pan, Jianzhong; Woo, Moo Ha |
| 刊名 | JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2006-09-01 |
| 卷号 | 43期号:5页码:1047-1063 |
| 关键词 | self-homotopy equivalences Gottlieb groups coGottlieb groups |
| ISSN号 | 0304-9914 |
| 英文摘要 | Let E-#(X) be the subgroups of E(X) consisting of homotopy classes of self-homotopy equivalences that fix homotopy groups through the dimension of X and E-* (X) be the subgroup of E(X) that fix homology groups for all dimension. In this paper, we establish some connections between the homotopy group of X and the subgroup E# (X) boolean AND E* (X) of E(X). We also give some relations between pi(n)(W), as well as a generalized Gottlieb group G(n)(f) (W, X), and a subset M-#N(f) (X, W) of [X, W]. Finally we establish a connection between the coGottlieb group of X and the subgroup of E(X) consisting of homotopy classes of self-homotopy equivalences that fix cohomology groups. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000240376700007 |
| 出版者 | KOREAN MATHEMATICAL SOCIETY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/3848]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Kim, Jae-Ryong |
| 作者单位 | 1.Kookmin Univ, Dept Math, Seoul 136702, South Korea 2.Fukuoka Univ, Dept Appl Math, Fukuoka 8140180, Japan 3.Chinese Acad Sci, Inst Math, Beijing, Peoples R China 4.Korea Univ, Dept Math Educ, Seoul 136701, South Korea |
| 推荐引用方式 GB/T 7714 | Kim, Jae-Ryong,Oda, Nobuyuki,Pan, Jianzhong,et al. Gottlieb groups and subgroups of the group of self-homotopy equivalences[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY,2006,43(5):1047-1063. |
| APA | Kim, Jae-Ryong,Oda, Nobuyuki,Pan, Jianzhong,&Woo, Moo Ha.(2006).Gottlieb groups and subgroups of the group of self-homotopy equivalences.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY,43(5),1047-1063. |
| MLA | Kim, Jae-Ryong,et al."Gottlieb groups and subgroups of the group of self-homotopy equivalences".JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 43.5(2006):1047-1063. |
入库方式： OAI收割
来源：数学与系统科学研究院
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