| 单子理论对拓扑等度连续与均匀连续的刻画及其应用 |
| |
| 引用本文： | 靳永军,陈东立,翟美娟. 单子理论对拓扑等度连续与均匀连续的刻画及其应用[J]. 纯粹数学与应用数学, 2009, 25(1): 157-159 |
| |
| 作者姓名： | 靳永军 陈东立 翟美娟 |
| |
| 作者单位： | 1. 西安工业大学数理系,陕西,西安,710032;西安建筑科技大学理学院,陕西,西安,710055
2. 西安建筑科技大学理学院,陕西,西安,710055 |
| |
| 基金项目： | 陕西省自然科学基金，西安建筑科技大学青年科技基金 |
| |
| 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.
|
| 关 键 词： | 拓扑等度连续 均匀连续 单子 |
The nonstandard characteristics of topological equicontinuity and evevly continuity by monad theory and its application |
| |
| JIN Yong-jun,CHEN Dong-li,ZHAI Mei-juan. The nonstandard characteristics of topological equicontinuity and evevly continuity by monad theory and its application[J]. Pure and Applied Mathematics, 2009, 25(1): 157-159 |
| |
| Authors: | JIN Yong-jun CHEN Dong-li ZHAI Mei-juan |
| |
| Affiliation: | JIN Yong-jun , CHEN Dong-li , ZHAI Mei-juan ( 1. School of Mathematics and Physical,Xi＇an Technological University, Xi＇an 710032,China ;2. School of Science,Xi＇an University of Architecture and Technology, Xi＇an 710055,China) |
| |
| Abstract: | 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. |
| |
| Keywords: | topological equicontinuity evenly continuity monad |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
