A Stone Duality for Pure and Trivial Double Boolean Algebras

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发表日期：

2025年

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Gael Tenkeu Kembang,
Michel Krebs,
Leonard Kwuida,
Etienne Romuald Temgoua Alomo,
Yannick Lea Tenkeu Jeufack

摘要

This work provides a topological representation for the class of pure and trivial double Boolean algebras and uses it to show that the category of pure and trivial double Boolean algebras and the category of pure and trivial double Boolean spaces are categorically anti-equivalent.

This work provides a topological representation for&#xa0;the class of pure and trivial double Boolean algebras and uses it&#xa0;to show that the category of pure and trivial double Boolean algebras and the category of pure and trivial double Boolean spaces&#xa0;are categorically anti-equivalent.

A Stone Duality for Pure and Trivial Double Boolean Algebras

摘要

This work provides a topological representation for the class of pure and trivial double Boolean algebras and uses it to show that the category of pure and trivial double Boolean algebras and the category of pure and trivial double Boolean spaces are categorically anti-equivalent.