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Exponential growth of homotopy groups of suspended finite complexes

文献类型：期刊论文

作者Huang, Ruizhi2; Wu, Jie1
刊名MATHEMATISCHE ZEITSCHRIFT
出版日期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
DOI10.1007/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
WOS记录号WOS:000550638900015
出版者SPRINGER HEIDELBERG
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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