Phantom maps and injectivity of forgetful maps

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	Phantom maps and injectivity of forgetful maps
	Pan, JZ ; Woo, MH
	2002
发表期刊	JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
ISSN	0025-5645
卷号	54 期号:1 页码:197-214
摘要	In this note, we attack a question about the injectivity of the forgetful map posed ten years ago by Tsukiyama. We show that we can insert the forgetful map in an exact sequence and that the problem can be reduced to the computation of the sequence which turns out unexpectedly to be related to the phantom map problem and the famous Halperin conjecture in rational homotopy theory.
关键词	homotopy equivalences forgetful map phantom map
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000174677200009
出版者	MATH SOC JAPAN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16978
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	Pan, JZ,Woo, MH. Phantom maps and injectivity of forgetful maps[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,2002,54(1):197-214.
APA	Pan, JZ,&Woo, MH.(2002).Phantom maps and injectivity of forgetful maps.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,54(1),197-214.
MLA	Pan, JZ,et al."Phantom maps and injectivity of forgetful maps".JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 54.1(2002):197-214.