@article{Zhang2022, 
author = {Xiaoyuan Zhang and Meng Bao and Xinpeng Wen and Xiaoquan Xu},
title = {On weakly bounded well-filtered spaces},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {17026-17044},
keywords = {k-bounded well-filtered space, weakly bounded well-filtered space, Scott topology, Smyth power space, reflection},
url = {https://www.sciopen.com/article/10.3934/math.2022936},
doi = {10.3934/math.2022936},
abstract = {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        K    B    W    F   is not reflective in the category              T      o      p              0      .}
}