Point-free MV-topologies

Marby Zuley Bolaños Ortiz; Luz Victoria De La Pava; Ciro Russo

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arXiv · 2604.00194

Point-free MV-topologies

Marby Zuley Bolaños Ortiz·Luz Victoria De La Pava·Ciro Russo

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Abstract

We propose a point-free approach to MV-topological spaces in the wake of previous works on both classical and fuzzy topology. In order to do that, we introduce suitable frame-type structures and a class of fuzzy topological spaces which includes and suitably extends the one of MV-topological spaces. Then we show an adjoint situation between such structures, and restrict such an adjointness to a duality between the corresponding classes of ``spatial frames'' and ``sober spaces''. We also use neighbourhood systems to characterize sobriety in this context.

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BibTeX RIS

Marby Zuley Bolaños Ortiz, Luz Victoria De La Pava, Ciro Russo. 2026-03-31. Point-free MV-topologies. https://arxiv.org/abs/2604.00194

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