5 citations · 16 across the 22 of their papers we have counts for
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math.GN2022
Further studies on open well-filtered spaces
Chong Shen, Xiaoyong Xi, Dongsheng Zhao
The open well-filtered spaces were introduced by Shen, Xi, Xu and Zhao to answer the problem whether every core-compact well-filtered space is sober. In the current paper we explor…
math.GN2022
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 $…
math.GN2022★ 1 cited
Not every countable complete lattice is sober
Hualin Miao, Xiaoyong Xi, Qingguo Li +1
The study of the sobriety of Scott spaces has got an relative long history in domain theory. Lawson and Hoffmann independently proved that the Scott space of every continuous direc…