利用滤子、纤维等工具讨论了K空间、集态FU空间的闭映射及开映射性质,得到了连续闭映射保持K空间的性质,连续开映射不一定保持K空间及集态FU空间性质,集态FU空间被其具有离散纤维的闭映射保持和逆保持.
In this paper,the author studied the properties of the closed mapping and the open mapping about K spaces and set FU spaces,and the results are as follows:K spaces are preserved by the closed continuous mapping;K spaces and set FU spaces may not be preseried by the continuous open mapping;set FU spaces are preserved and adversely preserved by closed continuous mapping with discrete fibers.