3 papers
math.CT2026
Commutation of Smyth and Hoare Power Constructions in Well-filtered Dcpos
Huijun Hou, Qingguo Li
Prior work [11] established a commutativity result for the Hoare power construction and a modified version of the Smyth power construction consisting of strongly compact sets, whic…
math.GN2026
Stone duality of Lawson compact algebraic L-domain
Huijun Hou, Ao Shen
In this paper, a subclass of bounded distributive lattices, that is, finitely disjunctive distributive lattices (FDD-lattices) have been introduced. Then we apply it to establish a…
math.GN2025
Posets uniquely determined by its compact saturated subsets
Huijun Hou, Qingguo Li
Inspired by Zhao and Xu's study on which a dcpo can be determined by its Scott closed subsets lattice, we further investigate whether a poset (or dcpo) is able to be determined…