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,研究了广义可数肾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.