摘要
引入了广义可数紧空间和广义列紧空间的概念,给出了这两类空间的关系以及广义可数紧空间的刻画,研究了广义可数紧空间上广义连续函数和广义上(下)半连续函数的性质.
The relations of generalized countably compact space and generalized sequentially compact space and the characterizations of generalized countably compact space are introduced. The results also include some properties of generalized continuous functions and generalized upper (lower) semi-continuous functions on generalized countably compact space.
出处
《五邑大学学报(自然科学版)》
CAS
2013年第1期21-23,共3页
Journal of Wuyi University(Natural Science Edition)
基金
国家自然科学基金资助项目(No.10971125)
关键词
广义可数紧
广义列紧
广义强T1空间
广义连续函数
广义上(下)半连续函数
generalized countably compact
generalized sequentially compact
generalized strongly T1 space
generalized continuous function
generalized upper (lower) semi-continuous function