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The Mislin genus, phantom maps and weak identities
Do, I; Pan, JZ
2000-04-08
Source PublicationTOPOLOGY AND ITS APPLICATIONS
ISSN0166-8641
Volume102Issue:2Pages:163-168
AbstractFor 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.
Keywordphantom map Mislin genus
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000085797700004
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/15608
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
2.Korea Univ, Dept Math Educ, Seoul 136701, South Korea
Recommended Citation
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.
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