摘要
该文在超拓扑空间上对超α-可数紧性质进行了研究,给出了超α-可数紧、几乎超α-可数紧及弱超α-可数紧的定义,研究了这些超拓扑性质之间的关系,探究了它们闭子集的超拓扑性质及它们在超α-连续映射下像的性质。T.M.Al-shami在文献中利用超开集定义了超紧和超lindel?f、几乎超紧和几乎超lindel?f、弱超紧和弱超lindel?f等空间,研究了它们之间的对应关系。
This article studies the supraα-countably compact space on the supra space,gives the def initions of the supraα-countably compact and(weak)supraα-almost countably compact,research the relationship among them,explores the supra topological properties of their closed subsets andimages of supraα-continuous mapping.
出处
《科技资讯》
2020年第9期211-212,共2页
Science & Technology Information
关键词
超α-开集
超α-可数紧空间
几乎超α-可数紧空间
弱超α-可数紧
Supraα-open set
Supraα-countablecompact spaces
Almostsupraα-countable compact spaces
Mildly supraα-countable compact spaces
