Gottlieb groups and subgroups of the group of self-homotopy equivalences

CSpace

	Gottlieb groups and subgroups of the group of self-homotopy equivalences
	Kim, Jae-Ryong ; Oda, Nobuyuki ; Pan, Jianzhong ; Woo, Moo Ha
	2006-09-01
发表期刊	JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
ISSN	0304-9914
卷号	43 期号:5 页码:1047-1063
摘要	Let E-#(X) be the subgroups of E(X) consisting of homotopy classes of self-homotopy equivalences that fix homotopy groups through the dimension of X and E-* (X) be the subgroup of E(X) that fix homology groups for all dimension. In this paper, we establish some connections between the homotopy group of X and the subgroup E# (X) boolean AND E* (X) of E(X). We also give some relations between pi(n)(W), as well as a generalized Gottlieb group G(n)(f) (W, X), and a subset M-#N(f) (X, W) of [X, W]. Finally we establish a connection between the coGottlieb group of X and the subgroup of E(X) consisting of homotopy classes of self-homotopy equivalences that fix cohomology groups.
关键词	self-homotopy equivalences Gottlieb groups coGottlieb groups
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000240376700007
出版者	KOREAN MATHEMATICAL SOCIETY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3849
专题	中国科学院数学与系统科学研究院
通讯作者	Kim, Jae-Ryong
作者单位	1.Kookmin Univ, Dept Math, Seoul 136702, South Korea 2.Fukuoka Univ, Dept Appl Math, Fukuoka 8140180, Japan 3.Chinese Acad Sci, Inst Math, Beijing, Peoples R China 4.Korea Univ, Dept Math Educ, Seoul 136701, South Korea
推荐引用方式 GB/T 7714	Kim, Jae-Ryong,Oda, Nobuyuki,Pan, Jianzhong,et al. Gottlieb groups and subgroups of the group of self-homotopy equivalences[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY,2006,43(5):1047-1063.
APA	Kim, Jae-Ryong,Oda, Nobuyuki,Pan, Jianzhong,&Woo, Moo Ha.(2006).Gottlieb groups and subgroups of the group of self-homotopy equivalences.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY,43(5),1047-1063.
MLA	Kim, Jae-Ryong,et al."Gottlieb groups and subgroups of the group of self-homotopy equivalences".JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY 43.5(2006):1047-1063.