22 citations · 47 across the 19 of their papers we have counts for
9 papers · 1 filter
A note on power spaces and function spaces of strongly well-filtered spaces
Zhenzhu Yuan, Xiangrui Li, Bei Liu +1
Strong well-filteredness is a refinement of well-filteredness arising naturally in non-Hausdorff topology and domain theory. In this paper, we construct a countable locally compact…
The core compactly generated topology
Qingguo Li, Hualin Miao
M. Escardó et al. asked whether the core compactly generated topology of a sober space is again sober and the sobrification of a core compactly generated space again core compactly…
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…