H and Q commute on well-filtered dcpo L iff L satisfies (KC) and Scott topology coincides with upper Vietoris on Q(L); the composed monad's Eilenberg-Moore category is a subcategory of Frm.
Heckmann, Lower and upper power domain constructions commute on all cpos, Infor- mation Processing Letters, 40 (1991): 7-11
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Commutation of Smyth and Hoare Power Constructions in Well-filtered Dcpos
H and Q commute on well-filtered dcpo L iff L satisfies (KC) and Scott topology coincides with upper Vietoris on Q(L); the composed monad's Eilenberg-Moore category is a subcategory of Frm.