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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.GM2022
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…