几乎超b-可数紧空间的若干性质研究  

Study on Some Properties of Almost super b-countably Compact Spaces

作　　者：宋嘉丽 SONG Jiali(School of Mathematics,Jilin Normal University,Jilin 130103,China)

机构地区：[1]吉林师范大学数学学院,吉林130103

出　　处：《电子技术（上海）》2022年第2期12-13,共2页Electronic Technology

摘　　要：在超可数紧空间和超b-可数紧空间的基础上,阐述推广空间—几乎超b-可数紧空间的遗传性和映射性质.得出了任意的超b-可数紧空间必为几乎超b-可数紧空间,几乎超b-可数紧空间中的超-闭开集是几乎超b-可数紧的,几乎超b-可数紧空间在超-连续映射下的像是几乎超可数紧的等结果.。On the basis of super countable compact space and super b-countable compact space, this paper expounds the heredity and mapping properties of generalized space almost super b-countable compact space. It is obtained that any super b-countable compact space must be almost super b-countable compact space, the super closed open set in almost super b-countable compact space is almost super b-countable compact, and the image of almost super b-countable compact space under super continuous mapping is almost super countable compact.

关 键 词：超可数紧空间 超b-可数紧空间 几乎超可数紧空间 

分 类 号：O189[理学—数学]