Homology roses and the D(2)-problem

doi:10.1007/s11425-014-4893-0

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	Homology roses and the D(2)-problem
	Jin XiFeng 1; Su Yang2 ; Yu Li 1,3
刊名	SCIENCE CHINA-MATHEMATICS
	2015-08-01
卷号	58 期号:8 页码:1753-1770
关键词	homology rose deficiency group cohomology Carlsson conjecture D(2)-problem gap efficiency Cockcroft property
ISSN号	1674-7283
DOI	10.1007/s11425-014-4893-0
英文摘要	For a commutative ring R with a unit, an R-homology rose is a topological space whose homology groups with R-coefficients agree with those of a bouquet of circles. In this paper, we study some special properties of the fundamental groups of R-homology roses and their covering spaces, from which we obtain some results supporting the Carlsson conjecture on free (a"currency sign (p) ) (r) actions. In addition, we discuss how to search candidates of the counterexamples of Wall's D(2)-problem among R-homology roses and R-acyclic spaces and propose some candidates.
资助项目	National Natural Science Foundation of China[11371188] ; PAPD (Priority Academic Program Development) of Jiangsu Higher Education Institutions
WOS研究方向	Mathematics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000358172300015
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/20392]
专题	数学所
通讯作者	Yu Li
作者单位	1.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China 2.Chinese Acad Sci, Inst Math, Hua Loo Keng Key Lab Math, Beijing 100190, Peoples R China 3.Nanjing Univ, Inst Math Sci, Nanjing 210093, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	Jin XiFeng,Su Yang,Yu Li. Homology roses and the D(2)-problem[J]. SCIENCE CHINA-MATHEMATICS,2015,58(8):1753-1770.
APA	Jin XiFeng,Su Yang,&Yu Li.(2015).Homology roses and the D(2)-problem.SCIENCE CHINA-MATHEMATICS,58(8),1753-1770.
MLA	Jin XiFeng,et al."Homology roses and the D(2)-problem".SCIENCE CHINA-MATHEMATICS 58.8(2015):1753-1770.