Exponential growth of homotopy groups of suspended finite complexes

doi:10.1007/s00209-019-02383-w

	Exponential growth of homotopy groups of suspended finite complexes
	Huang, Ruizhi 2; Wu, Jie 1
刊名	MATHEMATISCHE ZEITSCHRIFT
	2020-08-01
卷号	295 期号:3-4 页码:1301-1321
关键词	Homotopy groups Hyperbolicity Homotopy decomposition Moore spaces Loops and suspensions Hilton-Milnor Theorem
ISSN号	0025-5874
DOI	10.1007/s00209-019-02383-w
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000550638900015
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51894]
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.Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100190, 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.