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arXiv · 2504.17654

Many-valued aspects of tense an related operators

Michal Botur·Jan Paseka·Richard Smolka
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Abstract

Our research builds upon Halmos's foundational work on functional monadic Boolean algebras and our previous work on tense operators to develop three essential constructions, including the important concepts of fuzzy sets and powerset operators. These constructions have widespread applications across contemporary mathematical disciplines, including algebra, logic, and topology. The framework we present generates four covariant and two contravariant functors, establishing three adjoint situations.

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Michal Botur, Jan Paseka, Richard Smolka. 2025-04-24. Many-valued aspects of tense an related operators. https://arxiv.org/abs/2504.17654

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