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Duality for powerset coalgebras

Guram Bezhanishvili ; Luca Carai ; Patrick Morandi.
Let CABA be the category of complete and atomic boolean algebras and complete boolean homomorphisms, and let CSL be the category of complete meet-semilattices and complete meet-homomorphisms. We show that the forgetful functor from CABA to CSL has a left adjoint. This allows us to describe an&nbsp;[&hellip;]
Published on February 3, 2022
Volume 18, Issue 1

A Coalgebraic Approach to Dualities for Neighborhood Frames

Guram Bezhanishvili ; Nick Bezhanishvili ; Jim de Groot.
We develop a uniform coalgebraic approach to J\'onsson-Tarski and Thomason type dualities for various classes of neighborhood frames and neighborhood algebras. In the first part of the paper we construct an endofunctor on the category of complete and atomic Boolean algebras that is dual to the&nbsp;[&hellip;]
Published on July 28, 2022
Volume 18, Issue 3
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