October 9, 2025Open Access

A pair of monads in Topology

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The ideal frame comonad pairs with the open prime filter monad, allowing for new proofs.
These pairings demonstrate equivalences between stably compact spaces and compact Hausdorff spaces.
The study highlights interactions between Čech-Stone compactification in two topology perspectives.
The monads arise from a dual adjunction between topological spaces and bounded distributive lattices.

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This article demonstrates the relationship between two monads in topology, suggesting new equivalencies.

Ando Razafindrakoto (2025) studied this question.

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