The product of two Scott sober complete lattices is not always Scott sober
Zhengmao He
math.GNarXiv:2609.39246
Abstract
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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