7 papers
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 Scott power spaces
Xiaoquan Xu, Xinpeng Wen, Xiaoyong Xi
In this paper, we mainly discuss some basic properties of Scott power spaces. For a space , let be the poset of all nonempty compact saturated subsets of $…
Non-reflective categories of some kinds of weakly sober spaces
Xinpeng Wen, Xiaoquan Xu
Erné weakened the concept of sobriety in order to extend the theory of sober spaces and locally hypercompact spaces to situations where directed joins were missing, and introduced…
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…