覆盖式不分明仿紧性  

Fuzzy Paracompactness of Covering Style

作　　者：邱道文[1] 马剑兰 

机构地区：[1]中山大学数学系 [2]白云师范学校

出　　处：《中山大学学报（自然科学版）》1998年第5期107-109,共3页Acta Scientiarum Naturalium Universitatis Sunyatseni

摘　　要：利用包含度提出了覆盖式不分明仿紧性，并说明了它有好的推广，而且它等价于已有的各种不分明仿紧性．然后在此框架下给出几个与局部有限性紧密相关的覆盖引理，从而得到了主要结果。The inclusion degree is used to propose a fuzzy paracompactness of covering style, which is shown to be a good generalization. Moreover, it is equivalent to several kinds of fuzzy paracompactness previously given. Several lemmas ralated closely to locally finite property are established and the main result follows them. A complete equivalence theorem is obtained.

关 键 词：不分明拓扑 仿紧性 局部有限性 覆盖式 

分 类 号：O189.1[理学—数学]