In this paper the notion of $\infty$-open-multicommutativity of functors in the category of compact Hausdorff spaces is considered. This property is a generalization of the open-multicommutativity on the case of infinite diagrams. It is proved that every open-multicommutative functor is $\infty$-open-multicommutative.
A generalization of Ćirić fixed point theorem
Functionally $σ$-discrete mappings and a generalization of Banach's theorem
A generalization of de Vries duality to closed relations between compact Hausdorff spaces
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