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2026-09-30
The product of two Scott sober complete lattices is not always Scott sober
Zhengmao He
文献摘要
In this paper, we obtain two complete lattices that are sober with respect to the Scott topology, whereas the Scott space of their product is not a sober space. Thus, we answer a question posed by Miao, Xi, Jia, Li and Zhao in [9].
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