Qingguo Li

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math.GN2026

A continuous $3$ -distributive frame that is not $ω$ -distributive

Wei Luan, Qingguo Li

We give a negative answer to the question, posed by Erné, whether every $3$ -distributive lattice is $ω$ -distributive. More precisely, we exhibit a continuous frame that is $κ$ -dist…

math.GN2025

Separating domains from algebraic domains

Xiaodong Jia, Qingguo Li, Wei Luan

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.

A continuous 3-distributive frame that is not ω-distributive

Separating domains from algebraic domains

A continuous $3$ -distributive frame that is not $ω$ -distributive