Xiaoyong Xi

activity

20162026

most citedA complete Heyting algebra whose Scott space is non-sober

5 citations · 16 across the 22 of their papers we have counts for

collaborators

Showing 2019Show all

4 papers · 1 filter

math.GN2019

First countability, $ω$ -well-filtered spaces and reflections

Xiaoquan Xu, Chong Shen, Xiaoyong Xi +1

We first introduce and study two new classes of subsets in $T_{0}$ spaces - $ω$ -Rudin sets and $ω$ -well-filtered determined sets lying between the class of all closures of countable…

math.GN2019★ 1 cited

On $T_{0}$ spaces determined by well-filtered spaces

Xiaoquan Xu, Chong Shen, Xiaoyong Xi +1

We first introduce and study two new classes of subsets in $T_{0}$ spaces - Rudin sets and $\wdd$ sets lying between the class of all closures of directed subsets and that of irreduc…

math.GN2019★ 3 cited

Existence of well-filterifications of $T_{0}$ topological spaces

Guohua Wu, Xiaoyong Xi, Xiaoquan Xu +1

We prove that for every $T_{0}$ space $X$ , there is a well-filtered space $W (X)$ and a continuous mapping $η_X: X\lra W(X)$ such that for any well-filtered space $Y$ and any continuo…

math.GN2019★ 5 cited

A complete Heyting algebra whose Scott space is non-sober

Xiaoquan Xu, Xiaoyong Xi, Dongsheng Zhao

We prove that (1) for any complete lattice $L$ , the set $D (L)$ of all nonempty saturated compact subsets of the Scott space of $L$ is a complete Heyting algebra (with the…

First countability, ω-well-filtered spaces and reflections

On T0​ spaces determined by well-filtered spaces

Existence of well-filterifications of T0​ topological spaces

A complete Heyting algebra whose Scott space is non-sober

First countability, $ω$ -well-filtered spaces and reflections

On $T_{0}$ spaces determined by well-filtered spaces

Existence of well-filterifications of $T_{0}$ topological spaces