Stable homotopy classification of A (n) (4) -polyhedra with 2-torsion free homology

doi:10.1007/s11425-016-5123-8

CSpace > 数学所

	Stable homotopy classification of A (n) (4) -polyhedra with 2-torsion free homology
	Pan JianZhong1 ; Zhu ZhongJian 2
	2016-06-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	59 期号:6 页码:1141-1162
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).
关键词	homotopy indecomposable matrix problem
DOI	10.1007/s11425-016-5123-8
语种	英语
资助项目	National Natural Science Foundation of China[11131008] ; National Natural Science Foundation of China[61173009]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000376677900008
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22775
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.