摘要
强嵌入是粗几何中的不变量,文章进一步研究了强嵌入的性质,给出了强嵌入的纤维保持性和在度量空间直接极限下的封闭性。
Strong embeddability is an invariant in coarse geometry.In this paper,we further study the properties of strong embeddability,and prove that the strong embeddability has fibering permanence property and is preserved under the direct limit for metric spaces.
作者
李国强
余淑辉
LI Guoqiang;YU Shuhui(College of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China;College of Big Data Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)
出处
《广西民族大学学报（自然科学版）》
CAS
2023年第1期82-87,共6页
Journal of Guangxi Minzu University ：Natural Science Edition
基金
贵州省科技计划项目(黔科合基础-ZK[2022]一般022)。
关键词
度量几何
粗几何
强嵌入
保持性
Metric geometry
Coarse geometry
Strong embeddability
Permanence property
