Work

Point-free MV-topologies

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.00194

Authors: Ortiz, Marby Zuley Bolaños, De La Pava, Luz Victoria, Russo, Ciro

Topic: Advanced Algebra and Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7148328373

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