22 citations · 47 across the 19 of their papers we have counts for
5 papers · 1 filter
Weakly meet -continuity and -continuity
Huijun Hou, Qingguo Li
Based on the concept of weakly meet -continuouity put forward by Xu and Luo in \cite{qzm}, we further prove that if the subset system satisfies certain conditions, a pos…
One-step closure, weak one-step closure and meet continuity
Hualin Miao, Qingguo Li, Dongsheng Zhao
This paper studies the weak one-step closure and one-step closure properties concerning the structure of Scott closures. We deduce that every quasicontinuous domain has weak one-st…
On -ranks of topological spaces
Mengjie Jin, Qingguo Li
In this paper, the concepts of -subset systems and -well-filtered spaces are introduced, which provide another uniform approach to -spaces, -well-filtered spaces (i.e.,…
A Hofmann-Mislove theorem for -well-filtered spaces
Liping Zhang, Xiangnan Zhou, Qingguo Li
The Hofmann-Mislove theorem states that in a sober space, the nonempty Scott open filters of its open set lattice correspond bijectively to its compacts saturated sets. In this pap…
Not every countable complete lattice is sober
Hualin Miao, Xiaoyong Xi, Qingguo Li +1
The study of the sobriety of Scott spaces has got an relative long history in domain theory. Lawson and Hoffmann independently proved that the Scott space of every continuous direc…