Étale-finite Heyting algebras arise exactly as the subterminal lattices of finitely propositional elementary toposes, via categories of compact étale spaces constructed with Esakia duality.
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A topos for \'etale-finite Heyting algebras
Étale-finite Heyting algebras arise exactly as the subterminal lattices of finitely propositional elementary toposes, via categories of compact étale spaces constructed with Esakia duality.