A natural duality for involutive bisemilattices
Stefano Bonzio, Andrea Loi, Luisa Peruzzi · arXiv (Cornell University) · 2016
We establish a natural duality between the category of involutive bisemilattices and the category of strongly inverse systems of Stone spaces, using Stone duality from one side and the representation of involutive bisemilattices as P{\l}onka sum of Boolean algebras, from the other. Furthermore, we show that the dual space of an involutive bisemilattice can be viewed as a GR space with involution, a generalization of the spaces introduced by Gierz and Romanowska equipped with an involution as additional operation.