1 citations · 1 across the 13 of their papers we have counts for
5 papers · 2 filters
-convergence and locally hypercompact spaces
Yuxu Chen, Hui Kou
In this paper, we give a topological version of Scott convergence theorem for locally hypercompact spaces. We introduce the notion of -convergence on a topol…
Monotone determined spaces via -generated spaces
Yuxu Chen, Hui Kou, Zhenchao Lyu
The category of monotone determined spaces is an extended topological framework for dcpos in domain theory. We first show that monotone determined spaces are exactly the spaces gen…
Power structures of directed spaces
Xiaolin Xie, Yuxu Chen, Hui Kou
Powerdomains in domain theory plays an important role in modeling the semantics of nondeterministic functional programming languages.\ In this paper,\ we extend the notion of power…
The Directed Probabilistic Powerspace
Xiaolin Xie, Hui Kou, Zhenchao Lyu
Probabilistic powerdomain in domain theory plays an important role in modeling the semantics of nondeterministic functional programming languages with probabilistic choice. In this…
Continuity and core compactness of topological spaces
Yuxu Chen, Hui Kou, Zhenchao Lyu
We investigate two approximation relations on a T0 topological space, the n-approximation, and the d-approximation, which are generalizations of the way-below relation on a dcpo. D…