度量G-空间中G-可链点集的研究  

The Research on G-chain Point Set in the Metric G-space

作　　者：冀占江 谭伟明 粟光旺[3] JI Zhanjiang;TAN Weiming;SU Guangwang(School of Data Science and Software Engineering,Wuzhou University,Wuzhou 543002,Guangxi;Guangxi Colleges and Universities Key Laboratory of Image Processing and Intelligent Information System,Wuzhou University,Wuzhou 543002,Guangxi;Department of Mathematics and Statistics,Guangxi University of Finance and Economics,Nanning 530003,Guangxi)

机构地区：[1]梧州学院大数据与软件工程学院,广西梧州543002 [2]梧州学院广西高校图像处理与智能信息系统重点实验室,广西梧州543002 [3]广西财经学院信息与统计学院,广西南宁530003

出　　处：《四川师范大学学报（自然科学版）》2019年第4期511-515,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(41461005);广西自然科学基金(2016GXNSFBA380235);广西高校中青年教师科研基础能力提升项目(2019KY0681)

摘　　要：将度量空间中可链点集的定义进行推广,得到度量 G-空间中 G-可链点集的概念,并给出例子说明 G-可链点集的概念不同于可链点集的定义.证明可链点集的一些结论可以成功地推广到 G-可链点集上,获得 G-可链点集的一些新结果,推广和改进了现有文献中可链点集的结论.As a generalization of the notion of chain point sets in metric spaces is introduced, the notion of G -chain point sets in metric G -spaces. It is shown by an example that G -chain point sets are different from chain point sets indeed. We prove that some basic conclusions on chain point sets also hold for G -chain point sets and some new results are obtained, which extend and improve the known conclusion of chain point sets.

关 键 词：度量G-空间 伪等价映射 G-链回归点集 G-可链点集 

分 类 号：O189.11[理学—数学]