Cancellation and homotopy rigidity of classical functors

doi:10.1112/jlms.12167

CSpace

	Cancellation and homotopy rigidity of classical functors
	Huang, Ruizhi 1; Wu, Jie 2
	2019-02-01
发表期刊	JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
ISSN	0024-6107
卷号	99 期号:1 页码:225-248
摘要	We first show that simply connected co-H-spaces and connected H-spaces can be uniquely decomposed into prime factors in the homotopy category of pointed p-local spaces of finite type. This is used to develop a p-local version of Gray's correspondence between homotopy types of prime co-H-spaces and homotopy types of prime H-spaces, and the split fibration which connects them as well. Further, we use the unique decomposition theorem to study the homotopy rigidity problem for classic functors. Among others, we prove that Sigma Omega and Omega are homotopy rigid on simply connected p-local co-H-spaces of finite type, and Omega Sigma and Sigma are homotopy rigid on connected p-local H-spaces of finite type.
DOI	10.1112/jlms.12167
语种	英语
资助项目	Chinese Postdoctoral Science Foundation[2018M631605] ; Singapore Ministry of Education research grant (AcRF Tier 1 WBS)[R-146-000-222-112] ; NSFC of China[11329101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000457652800010
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32378
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, Siyuan Bldg 55 East Zhongguancun Rd, Beijing 100190, Peoples R China 2.Natl Univ Singapore, Dept Math, 2Block S17 SOC1,06-02,10 Lower Kent Ridge Rd, Singapore 119076, Singapore
推荐引用方式 GB/T 7714	Huang, Ruizhi,Wu, Jie. Cancellation and homotopy rigidity of classical functors[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES,2019,99(1):225-248.
APA	Huang, Ruizhi,&Wu, Jie.(2019).Cancellation and homotopy rigidity of classical functors.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES,99(1),225-248.
MLA	Huang, Ruizhi,et al."Cancellation and homotopy rigidity of classical functors".JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 99.1(2019):225-248.