关于R-半拓扑空间中连续性的一些结果OA
Some Research About Continuity on R-semi-topology Space
借鉴一般拓扑空间与广义拓扑空间中连续性的定义方法,首先给出R-半拓扑空间中逆开连续、点态连续的定义,并得出逆开连续一定是点态连续,点态连续不一定是逆开连续的结论;又给出R-邻域系统的定义,并进一步给出在R-邻域系统上连续、弱连续、几乎连续、强连续的定义,研究了几种连续之间的关系.指出在R-邻域系统上的强连续严格强于连续,连续严格强于弱连续;强连续严格强于几乎连续,几乎连续严格强于弱连续;几乎连续与连续无关.
The notion of opening the inverse continuity and pointwise continuity on R-semi-topology has first been point-ed out,reaching the conclusion that opening the inverse continuity has been pointwise continuity and their relationship is not constant.Inaddition,the notion of R-neighborhood systems has been introduced.At the same time,the notion of continuity, weak continuity,almost continuity and strong continuity have been further introduced,then the relationshi…查看全部>>
靳敏倩;朱培勇
电子科技大学数学科学学院,成都 611731电子科技大学数学科学学院,成都 611731
R-半拓扑空间R-邻域系统点态连续开逆连续强连续
R-semi-topologyR-neighborhood systemspointwise continuityopen the inverse continuitystrong conti-nuity
《四川理工学院学报（自然科学版）》 2018 (3)
96-100,5
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