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math.GM2022★ 1 cited
On -reflections of Scott spaces
Xiaoquan Xu
In this paper, for a full subcategory of the category of all spaces with continuous mappings, we investigate the questions under what conditions the …
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…