Xiaodong Jia

collaborators

2 papers

math.GN2024

$ω$ -well-filtered spaces, revisited

Hualin Miao, Xiaodong Jia, Ao Shen +1

We prove that a $T_{0}$ topological space is $ω$ -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…

cs.LO2024

The category of well-filtered dcpos is not $Γ$ -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 $DCPO$ of dcpo's and Sco…

ω-well-filtered spaces, revisited

The category of well-filtered dcpos is not Γ-faithful

$ω$ -well-filtered spaces, revisited

The category of well-filtered dcpos is not $Γ$ -faithful