Homology roses and the D(2)-problem
文献类型：期刊论文
| 作者 | Jin XiFeng1; Su Yang2 ; Yu Li1,3
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000358172300015 |
| 出版者 | SCIENCE PRESS |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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