关于粗同伦(英文)  

On Coarse Homotopy

作　　者：李丹[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《复旦学报（自然科学版）》2007年第2期204-208,共5页Journal of Fudan University：Natural Science

基　　金：Project supported by National Natural Science Foundation of China(10571029)

摘　　要：通过计算K同调群和K群,可以得到几何空间的拓扑几何信息.借助于同伦可以拓展可计算空间的范畴.在粗几何的领域不同的粗同伦形式已从不同角度引入,在充分例证的基础上研究了这些粗同伦并讨论了它们的区别和联系.By computing K-homology and K-theory, information about topology and geometry of geometric spaces can be obtained. With the help of homotopy, the range of calculable spaces is extended. In the field of coarse geometry, Higson, Roe and Yu introduced some distinct forms of coarse homotopy from different perspectives. These different homotopy forms are studied and subtle differences between them are given.

关 键 词：粗同伦 粗几何 粗形式Baum-Connes猜测 

分 类 号：O189[理学—数学]