Chong Shen

collaborators

3 papers

math.GN2020

$ω$ -Rudin spaces, well-filtered determined spaces and first-countable spaces

Xiaoquan Xu, Chong Shen, Xiaoyong Xi +1

We investigate some versions of $d$ -space, well-filtered space and Rudin space concerning various countability properties. The main results include: (i) if the sobrification of a $…

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

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…

ω-Rudin spaces, well-filtered determined spaces and first-countable spaces

First countability, ω-well-filtered spaces and reflections

On T0​ spaces determined by well-filtered spaces

$ω$ -Rudin spaces, well-filtered determined spaces and first-countable spaces

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

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