The Mislin genus, phantom maps and weak identities

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	The Mislin genus, phantom maps and weak identities
	Do, I ; Pan, JZ
	2000-04-08
发表期刊	TOPOLOGY AND ITS APPLICATIONS
ISSN	0166-8641
卷号	102 期号:2 页码:163-168
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.
关键词	phantom map Mislin genus
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000085797700004
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15608
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.