Only rational homology spheres admit Omega(f) to be union of DE attractors

doi:10.1017/S014338570900073X

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	Only rational homology spheres admit Omega(f) to be union of DE attractors
	Ding, Fan 1; Pan, Jianzhong2 ; Wang, Shicheng 1; Yao, Jiangang 3
	2010-10-01
发表期刊	ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN	0143-3857
卷号	30 页码:1399-1417
摘要	If there exists a diffeomorphism f on a closed, orientable n-manifold M such that the non-wandering set Omega (f) consists of finitely many orientable (+/-) attractors derived from expanding maps, then M is a rational homology sphere; moreover all those attractors are of topological dimension n - 2. Expanding maps are expanding on (co) homologies.
DOI	10.1017/S014338570900073X
语种	英语
资助项目	National Natural Science Foundation of China[10631060] ; NSFC[60603004]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000283186800006
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/9948
专题	数学所
通讯作者	Ding, Fan
作者单位	1.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Inst Math, HLM, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
推荐引用方式 GB/T 7714	Ding, Fan,Pan, Jianzhong,Wang, Shicheng,et al. Only rational homology spheres admit Omega(f) to be union of DE attractors[J]. ERGODIC THEORY AND DYNAMICAL SYSTEMS,2010,30:1399-1417.
APA	Ding, Fan,Pan, Jianzhong,Wang, Shicheng,&Yao, Jiangang.(2010).Only rational homology spheres admit Omega(f) to be union of DE attractors.ERGODIC THEORY AND DYNAMICAL SYSTEMS,30,1399-1417.
MLA	Ding, Fan,et al."Only rational homology spheres admit Omega(f) to be union of DE attractors".ERGODIC THEORY AND DYNAMICAL SYSTEMS 30(2010):1399-1417.