Exponential growth of homotopy groups of suspended finite complexes

doi:10.1007/s00209-019-02383-w

CSpace

	Exponential growth of homotopy groups of suspended finite complexes
	Huang, Ruizhi 1; Wu, Jie 2
	2020-08-01
发表期刊	MATHEMATISCHE ZEITSCHRIFT
ISSN	0025-5874
卷号	295 期号:3-4 页码:1301-1321
摘要	We study the asymptotic behavior of the homotopy groups of simply connected finitep-local complexes, and define a space to be locally hyperbolic if its homotopy groups have exponential growth. Under certain conditions related to the functorial decomposition of loop suspension, we prove that the suspended finite complexes are locally hyperbolic if suitable but accessible information of the homotopy groups is assumed. In particular, we prove that Moore spaces are locally hyperbolic, and other candidates are also given.
关键词	Homotopy groups Hyperbolicity Homotopy decomposition Moore spaces Loops and suspensions Hilton-Milnor Theorem
DOI	10.1007/s00209-019-02383-w
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000550638900015
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51895
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Ruizhi
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, Peoples R China 2.Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China
推荐引用方式 GB/T 7714	Huang, Ruizhi,Wu, Jie. Exponential growth of homotopy groups of suspended finite complexes[J]. MATHEMATISCHE ZEITSCHRIFT,2020,295(3-4):1301-1321.
APA	Huang, Ruizhi,&Wu, Jie.(2020).Exponential growth of homotopy groups of suspended finite complexes.MATHEMATISCHE ZEITSCHRIFT,295(3-4),1301-1321.
MLA	Huang, Ruizhi,et al."Exponential growth of homotopy groups of suspended finite complexes".MATHEMATISCHE ZEITSCHRIFT 295.3-4(2020):1301-1321.