Phantom maps and injectivity of forgetful maps
文献类型:期刊论文
作者 | Pan, JZ; Woo, MH |
刊名 | JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
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出版日期 | 2002 |
卷号 | 54期号:1页码:197-214 |
关键词 | homotopy equivalences forgetful map phantom map |
ISSN号 | 0025-5645 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
WOS记录号 | WOS:000174677200009 |
出版者 | MATH SOC JAPAN |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/16977] ![]() |
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. |
入库方式: OAI收割
来源:数学与系统科学研究院
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