5 papers · 1 filter
Characterization of -spaces for quasi-liminf convergence being topological
Xinpeng Wen, Xiaoquan Xu
The authors' primary goal in this paper is to extend some important results related to the liminf-convergence and -convergence in domain theory to the setting of $T_0…
On strong -spaces
Xinpeng Wen, Meng Bao, Xiaoquan Xu
In this paper, we mainly investigate some basic properties of strong -spaces. It is shown that the property of being a strong -space is closed-hereditary, saturated-hereditar…
On three problems about well-filteredness of -spaces
Xiaoquan Xu, Xinpeng Wen
In this paper, we show that there is a countable Noetherian complete lattice and an order-compatible -topology on such that is not well-filtered, and there…
On GSI2-convergence in T0-spaces
Xinpeng Wen, Meng Bao, Wenfeng Zhang
In this paper,we introduce the concept of GSI-convergence in spaces and the related concept of (strongly) QI-continuous spaces. It is proved that if GSI-convergen…
On some kinds of weakly sober spaces
Xinpeng Wen, Xiaoquan Xu
In \cite{E_2018}, Erné relaxed the concept of sobriety in order to extend the theory of sober spaces and locally hypercompact spaces to situations where directed joins were missing…