| 一个Mineyev函数构造的推广及其应用 |
| |
| 引用本文： | 吕乐千.一个Mineyev函数构造的推广及其应用[J].复旦学报(自然科学版),2007,46(2):198-203. |
| |
| 作者姓名： | 吕乐千 |
| |
| 作者单位： | 复旦大学,数学科学学院,上海,200433 |
| |
| 摘 要： | 对于Gromov意义下的双曲群,Mineyev所构造的函数具有良好的"分离"性质,是研究粗嵌入相关问题的有力工具.现将其推广到一般的双曲连通图空间,并通过对度量空间的约化处理,据此给出一个拟测地双曲度量空间到lp空间的粗嵌入.最后指出了Tu的证明所必须却未明确表述的一条假设.
|
| 关 键 词： | 双曲空间 粗嵌入 粗几何Novikov猜想 |
| 文章编号： | 0427-7104（2007）02-0198-06 |
| 修稿时间： | 2006-11-23 |
A Generalization to Mineyev's Construction and Its Application |
| |
| Lü Le-qian.A Generalization to Mineyev''''s Construction and Its Application[J].Journal of Fudan University(Natural Science),2007,46(2):198-203. |
| |
| Authors: | Lü Le-qian |
| |
| Institution: | School of Mathematical Sciences, Fudan University, Shanghai 200433, China |
| |
| Abstract: | In his study of hyperbolic group bounded cohomology, Mineyev constructed a function defined on the Cayley graph of hyperbolic groups completely based on elementary geometry. This function has a superior performance in the separation of metric spaces, suggesting a widely application in constructing coarse embedding in the hyperbolic cases. This function is generalized to all connected hyperbolic graphs, through which a coarse embedding of the hyperbolic space into some l^p-space is concisely constructed. |
| |
| Keywords: | hyperbolic space coarse embedding coarse geometric Novikov conjecture |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
