(CO)HOMOLOGY SELF-CLOSENESS NUMBERS OF SIMPLY-CONNECTED SPACES

doi:10.4310/HHA.2021.v23.n1.a1

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	(CO)HOMOLOGY SELF-CLOSENESS NUMBERS OF SIMPLY-CONNECTED SPACES
	Li, Pengcheng
	2021
发表期刊	HOMOLOGY HOMOTOPY AND APPLICATIONS
ISSN	1532-0073
卷号	23 期号:1 页码:1-16
摘要	The (co)homology self-closeness number of a simply-connected based CW-complex X is the minimal number k such that any self-map f of X inducing an automorphism of the (co)homology groups for dimensions <= k is a self-homotopy equivalence. These two numbers are homotopy invariants and have a close relation with the group of self-homotopy equivalences. In this paper, we compare the (co)homology self-closeness numbers of spaces in certain cofibrations, define the mod p (co)homology self-closeness number of simply-connected p-local spaces with finitely generated homologies and study some properties of the (mod p) (co)homology self-closeness numbers.
关键词	self-homotopy equivalence self-closeness number cofibration
DOI	10.4310/HHA.2021.v23.n1.a1
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000558159500001
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52001
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Pengcheng
作者单位	Univ Chinese Acad Sci, Acad Math & Syst Sci, Chinese Acad Sci, Zhongguancun East Rd 55, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Pengcheng. (CO)HOMOLOGY SELF-CLOSENESS NUMBERS OF SIMPLY-CONNECTED SPACES[J]. HOMOLOGY HOMOTOPY AND APPLICATIONS,2021,23(1):1-16.
APA	Li, Pengcheng.(2021).(CO)HOMOLOGY SELF-CLOSENESS NUMBERS OF SIMPLY-CONNECTED SPACES.HOMOLOGY HOMOTOPY AND APPLICATIONS,23(1),1-16.
MLA	Li, Pengcheng."(CO)HOMOLOGY SELF-CLOSENESS NUMBERS OF SIMPLY-CONNECTED SPACES".HOMOLOGY HOMOTOPY AND APPLICATIONS 23.1(2021):1-16.