1 citations · 1 across the 8 of their papers we have counts for
9 papers
A Universal Quasi-Polish Space
Su Gao, Qingguo Li, Hualin Miao
In this paper, we first construct a universal quasi-Polish space Y with the property that every quasi-Polish space is homeomorphic to a closed subspace of Y. This gives a hyperspac…
-well-filtered spaces, revisited
Hualin Miao, Xiaodong Jia, Ao Shen +1
We prove that a topological space is -well-filtered if and only if it does not admit either the natural numbers with the cofinite topology or with the Scott topology as it…
The category of well-filtered dcpos is not -faithful
Hualin Miao, Huijun Hou, Xiaodong Jia +1
The Ho-Zhao problem asks whether any two dcpo's with isomorphic Scott closed set lattices are themselves isomorphic, that is, whether the category of dcpo's and Sco…
Products of two sober dcpo's need not be sober
Hualin Miao, Xiaoyong Xi, Xiaodong Jia +2
We construct two dcpo's whose Scott spaces are sober, but the Scott space of their order product is not sober. This answers an open problem on the sobriety of Scott spaces. Meantim…
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…
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…
On some open problems concerning strong d-spaces and super H-sober spaces
Mengjie Jin, Hualin Miao, Qingguo Li
In this paper, we highlight some open problems stated by Xu and Zhao. In particular, we focus on strong -spaces and answer two open problems concerning strong -spaces. One is…
D-completion, well-filterification and sobrification
Hualin Miao, Longchun Wang, Qingguo Li
In this paper, we obtain some sufficient conditions for the D-completion of a T0 space to be the well-filterification of this space, the well-filterification of a T0 space to be th…