Abstract
For a complete Heyting lattice ℒ, we define a category Etale (ℒ). We show that the category Etale (ℒ) is equivalent to the category of the sheaves over ℒ, Sh(ℒ), hence also with ℒ-valued sets, see [2], [1]. The category Etale(ℒ) is a generalization of the category Etale (X), see [1], where X is a topological space.
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References
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Jankowski, A.W., Zawadowski, M. Sheaves over Heyting lattices. Stud Logica 44, 237–256 (1985). https://doi.org/10.1007/BF00394444
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DOI: https://doi.org/10.1007/BF00394444