An extension of Priestley duality to fuzzy topologies and positive MV-algebras

Marby Zuley Bolaños Ortiz; Ciro Russo

doi:10.1016/j.fss.2026.109850

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arXiv · 2508.19423

An extension of Priestley duality to fuzzy topologies and positive MV-algebras

Marby Zuley Bolaños Ortiz·Ciro Russo

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Abstract

We extend Priestley Duality to suitable categories of fuzzy topological spaces and ordered algebraic structures that generalize bounded distributive lattices. The duality we prove extends not only classical Priestley Duality between Priestley Spaces and bounded distributive lattices, but also the duality between limit cut complete MV-algebras and Stone MV-topological spaces (proved by the second author in a previous paper) which, on its turn, is an extension of classical Stone Duality.

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Marby Zuley Bolaños Ortiz, Ciro Russo. 2025-08-26. An extension of Priestley duality to fuzzy topologies and positive MV-algebras. https://doi.org/10.1016/j.fss.2026.109850

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