Point-free MV-topologies
Logic
2026-04-02 v1
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.
Cite
@article{arxiv.2604.00194,
title = {Point-free MV-topologies},
author = {Marby Zuley Bolaños Ortiz and Luz Victoria De La Pava and Ciro Russo},
journal= {arXiv preprint arXiv:2604.00194},
year = {2026}
}
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