中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Stable homotopy classification of A (n) (4) -polyhedra with 2-torsion free homology

文献类型:期刊论文

作者Pan JianZhong1; Zhu ZhongJian2
刊名SCIENCE CHINA-MATHEMATICS
出版日期2016-06-01
卷号59期号:6页码:1141-1162
关键词homotopy indecomposable matrix problem
ISSN号1674-7283
DOI10.1007/s11425-016-5123-8
英文摘要We study the stable homotopy types of F (n(2)) (4) -polyhedra, i.e., (n - 1)-connected, at most (n + 4)-dimensional polyhedra with 2-torsion free homologies. We are able to classify the indecomposable F (n(2)) (4) -polyhedra. The proof relies on the matrix problem technique which was developed in the classification of representations of algebras and applied to homotopy theory by Baues and Drozd (1999, 2001, 2004).
资助项目National Natural Science Foundation of China[11131008] ; National Natural Science Foundation of China[61173009]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000376677900008
出版者SCIENCE PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/22774]  
专题数学所
通讯作者Zhu ZhongJian
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, HUA Loo Keng Key Lab Math, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714
Pan JianZhong,Zhu ZhongJian. Stable homotopy classification of A (n) (4) -polyhedra with 2-torsion free homology[J]. SCIENCE CHINA-MATHEMATICS,2016,59(6):1141-1162.
APA Pan JianZhong,&Zhu ZhongJian.(2016).Stable homotopy classification of A (n) (4) -polyhedra with 2-torsion free homology.SCIENCE CHINA-MATHEMATICS,59(6),1141-1162.
MLA Pan JianZhong,et al."Stable homotopy classification of A (n) (4) -polyhedra with 2-torsion free homology".SCIENCE CHINA-MATHEMATICS 59.6(2016):1141-1162.

入库方式: OAI收割

来源:数学与系统科学研究院

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