5 citations · 16 across the 16 of their papers we have counts for
19 papers
Scott Function Spaces under One-Sided FS Assumptions: Counterexamples, Positive Results, and New Directions
Chong Shen, Weng Kin Ho, Xiaoyong Xi +1
The class of FS-domains is known to be closed under Scott function spaces when both the source and target are FS-domains. This paper investigates what remains true under one-sided…
Convergence Choquet-complete spaces and domain representations
Xiaoyong Xi, Chong Shen, Weng Kin Ho +1
de Brecht, Goubault-Larrecq, Jia and Lyu asked whether every sober convergence Choquet-complete space is domain-complete. We introduce the notion of singleton Choquet-completeness,…
Sober topologies on a set
Xiangrui Li, Qingguo Li, Dongsheng Zhao
The collection of all topologies on a set X forms a complete lattice with respect to the inclusion order, which have been investigated by many researchers. Sobriety is one of the c…
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…