欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
利用MP滤子F在R0代数M上诱导一致拓扑SF，得出了（M，SF）是不连通的、零维的、局部紧的、完全正则的第一可数空间，（M，SF）是瓦空间当且仅当F={1}。证明了R0代数M中的运算’，V与→在（M，SF）中均连续。最后，讨论了商代数中一致拓扑的性质。
英文摘要：
It is proved that the uniform topological space induced by a filter in an R0 algebra is a disconnected, zero-di-mensional, locally compact, completely regular and first-countable space, and a T0 space if and only if the filter is equal to {1} Also, we proved that the negative operation, the join operation and the implication operation are continuous in the uniform topological space. Finally, some properties of the uniform topology are discussed on the quotient R0 algebra under the equivalence relation induced by a filter.
同期刊论文项目
同项目期刊论文
期刊信息
位置：