单子理论对拓扑等度连续与均匀连续的刻画及其应用  

The nonstandard characteristics of topological equicontinuity and evevly continuity by monad theory and its application

作　　者：靳永军[1,2] 陈东立[2] 翟美娟[2] 

机构地区：[1]西安工业大学数理系,陕西西安710032 [2]西安建筑科技大学理学院,陕西西安710055

出　　处：《纯粹数学与应用数学》2009年第1期157-159,共3页Pure and Applied Mathematics

基　　金：陕西省自然科学基金项目(2007A12);西安建筑科技大学青年科技基金(QN0736).

摘　　要：在扩大模型下,应用单子理论给出了拓扑等度连续和均匀连续的非标准刻画,并应用均匀连续的非标准特征证明了网收敛与均匀连续之间的关系,最后应用拓扑等度连续和均匀连续的非标准特征证明了拓扑等度连续和均匀连续之间的关系.In this paper,we give the nonstandard characteristics of topological equicontinuity and evenly continuity by monad theory in the enlargement model. Then we obtain the relation between net convergence and evenly continuity by using the nonstandard characteristics of evenly continuity. Finally, we prove the relation between topological equicontinuity and evenly continuity by using the nonstandard characteristics of topological equicontinuity and evenly continuity.

关 键 词：拓扑等度连续 均匀连续 单子 

分 类 号：O141.41[理学—数学]