The Mislin genus, phantom maps and weak identities
文献类型：期刊论文
| 作者 | Do, I; Pan, JZ |
| 刊名 | TOPOLOGY AND ITS APPLICATIONS
 |
| 出版日期 | 2000-04-08 |
| 卷号 | 102期号:2页码:163-168 |
| 关键词 | phantom map Mislin genus |
| ISSN号 | 0166-8641 |
| 英文摘要 | For a nilpotent space X, we prove that the cardinality of the set WI(X), which denotes the homotopy classes of weak identities, depends only on the Mislin genus of X. On the other hand, we prove that when X = BG, the classifying space of a connected finite loop space, or X is a 1-connected finite Postnikov space, or X is a 1-connected infinite loop space, and Y is the iterated loop space of a 1-connected finite CW-complex, the isomorphism class of the group Ph(X, Y) depends only on the Mislin genus of X. These generalize recent results of Roitberg. (C) 2000 Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000085797700004 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15607]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Pan, JZ |
| 作者单位 | 1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Korea Univ, Dept Math Educ, Seoul 136701, South Korea |
| 推荐引用方式 GB/T 7714 | Do, I,Pan, JZ. The Mislin genus, phantom maps and weak identities[J]. TOPOLOGY AND ITS APPLICATIONS,2000,102(2):163-168. |
| APA | Do, I,&Pan, JZ.(2000).The Mislin genus, phantom maps and weak identities.TOPOLOGY AND ITS APPLICATIONS,102(2),163-168. |
| MLA | Do, I,et al."The Mislin genus, phantom maps and weak identities".TOPOLOGY AND ITS APPLICATIONS 102.2(2000):163-168. |
入库方式： OAI收割
来源：数学与系统科学研究院
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