覆盖近似空间的连续与同胚映射  

Continuous and homomorphism mapping of covering approximate space

作　　者：何家莉 He Jiali(School of mathematics and statistics,Yulin Normal University,Yulin 537000,China)

机构地区：[1]玉林师范学院数学与统计学院

出　　处：《纯粹数学与应用数学》2019年第2期229-234,共6页Pure and Applied Mathematics

基　　金：国家自然科学基金(61761044);博士科研启动基金(G2018005);广西教育厅科学基金(201204LX335)

摘　　要：利用一般映射研究了覆盖近似空间的一些性质,并证明了一些结论.接着定义了覆盖空间的粗糙连续映射及粗糙同胚映射.最后在覆盖粗糙连续映射和覆盖粗糙同胚映射的条件下,研究了两个覆盖近似空间的有关性质,进而在某种程度上为覆盖近似空间的分类提供了理论依据.In this paper, some properties of covering approximate space are studied by general map- ping, and some conclusions are proved. Then we define the continuous mapping and homeomorphism mapping of the covering space. At last, we study the properties of two covering approximate spaces under the condition of continuous mapping and homomorphism mapping. The classification of the approximate space provides a theoretical basis.

关 键 词：覆盖近似空间 覆盖粗糙连续映射 覆盖粗糙同胚映射 

分 类 号：O175.3[理学—数学]