K空间与集态FU空间的几个映射性质  

Several Mapping Properties on K Space and Set FU Space

作　　者：王汉锋[1] 李仁所[1] 张莉[1] 

机构地区：[1]山东农业大学数学系,山东泰安271018

出　　处：《河南大学学报（自然科学版）》2011年第4期345-347,共3页Journal of Henan University:Natural Science

基　　金：国家自然科学基金资助项目(10971186);山东省科技厅科技发展计划项目(J08LI09)

摘　　要：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.

关 键 词：闭映射 开映射 K空间 集态FU空间 

分 类 号：O189.1[理学—数学]