Xinpeng Wen

works on

domain theory 1 qs-convergence 1 quasi-liminf convergence 1 t0 spaces 1 weakly locally hypercompact spaces 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

math.GN2026

Characterization of $T_{0}$ -spaces for quasi-liminf convergence being topological

Xinpeng Wen, Xiaoquan Xu

The paper investigates quasi‑liminf convergence in T₀ spaces, introduces weakly locally hypercompact (WLH) spaces, and shows that this convergence is topological exactly for WLH sp…

math.GN2026

On strong $R$ -spaces

Xinpeng Wen, Meng Bao, Xiaoquan Xu

In this paper, we mainly investigate some basic properties of strong $R$ -spaces. It is shown that the property of being a strong $R$ -space is closed-hereditary, saturated-hereditar…

math.GN2026

On three problems about well-filteredness of $T_{0}$ -spaces

Xiaoquan Xu, Xinpeng Wen

In this paper, we show that there is a countable Noetherian complete lattice $L$ and an order-compatible $d$ -topology $I ¨ $ on $L$ such that $(L, I ¨ )$ is not well-filtered, and ther…

math.GN2026

On GSI2-convergence in T0-spaces

Xinpeng Wen, Meng Bao, Wenfeng Zhang

In this paper,we introduce the concept of GSI $_{2}$ -convergence in $T_{0}$ spaces and the related concept of (strongly) QI $_{2}$ -continuous spaces. It is proved that if GSI $_{2}$ -convergen…

Characterization of T0​-spaces for quasi-liminf convergence being topological

On strong R-spaces

On three problems about well-filteredness of T0​-spaces

On GSI2-convergence in T0-spaces

Characterization of $T_{0}$ -spaces for quasi-liminf convergence being topological

On strong $R$ -spaces

On three problems about well-filteredness of $T_{0}$ -spaces