4 papers
Baker-Beynon duality beyond semisimplicity
Luca Carai, Serafina Lapenta, Luca Spada
Combining tools from category theory, model theory, and non-standard analysis we extend Baker-Beynon dualities to the classes of all Abelian -groups and all Riesz spaces (als…
A New Proof of the Joyal-Tierney Theorem
Guram Bezhanishvili, Luca Carai, Patrick Morandi
We give an alternative, more geometric, proof of the well-known Joyal-Tierney Theorem in locale theory by utilizing Priestley duality for frames.
Heyting frames and Esakia duality
Guram Bezhanishvili, Luca Carai, Patrick Morandi
We introduce the category of Heyting frames and show that it is equivalent to the category of Heyting algebras and dually equivalent to the category of Esakia spaces. This provides…
The Vietoris functor and modal operators on rings of continuous functions
G. Bezhanishvili, L. Carai, P. Morandi
We introduce an endofunctor on the category of bounded archimedean -algebras and show that there is a dual adjunction between the category of algebras for…