5 citations · 22 across the 19 of their papers we have counts for
5 papers · 1 filter
Further studies on open well-filtered spaces
Chong Shen, Xiaoyong Xi, Dongsheng Zhao
The open well-filtered spaces were introduced by Shen, Xi, Xu and Zhao to answer the problem whether every core-compact well-filtered space is sober. In the current paper we explor…
The sheaf representation of residuated lattices
Huarong Zhang, Dongsheng Zhao
The residuated lattices form one of the most important algebras of fuzzy logics and have been heavily studied by people from various different points of view. Sheaf presentations p…
Quasiexact posets and the moderate meet-continuity
Zhaorong He, Zhongqiang Yang, Dongsheng Zhao
The study of weak domains and quasicontinuous domains leads to the consideration of two types generalizations of domains. In the current paper, we define the weak way-below relatio…
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…
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…