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arXiv · 2504.04189

Separating domains from algebraic domains

Xiaodong Jia·Qingguo Li·Wei Luan
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Abstract

We prove that every domain that fails to be algebraic admits the unit interval $[0, 1]$ as its Scott-continuous retract. As a result, every countable domain is algebraic.

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Xiaodong Jia, Qingguo Li, Wei Luan. 2025-04-05. Separating domains from algebraic domains. https://arxiv.org/abs/2504.04189

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