摘要

In [16], using Rudin sets, Miao, Li and Zhao introduced a new concept of weakly well-filtered spaces-k-bounded well-filtered spaces. Now, also using Rudin sets, we introduce another type of T-0 spaces-weakly bounded well-filtered spaces, which are strictly stronger than k-bounded well-filtered spaces. Some basic properties of k-bounded well-filtered spaces and weakly bounded well-filtered spaces are investigated and the relationships among some kinds of weakly sober spaces and weakly well-filtered spaces are posed. It is proved that the category KBWF is not reflective in the category Top(0).

  • 单位
    南昌航空大学; 四川大学

全文