2 citations · 4 across the 11 of their papers we have counts for
4 papers · 2 filters
Unital Specker -groups and boolean multispaces
Marco Abbadini, Daniele Mundici
As a topological generalization of the notion of a multiset, a boolean multispace is a boolean space with a continuous function , where $\mathbb Z_…
On the symmetry behind duality
Marco Abbadini, Achim Jung
Dualities such as Stone duality and the duality between sober spaces and spatial frames hinge on an interaction between open sets and compact saturated sets. In several important c…
On the lack of colimits in various categories arising in pointfree topology and algebraic logic
Marco Abbadini, Guram Bezhanishvili, Luca Carai
We prove that the category of McKinsey-Tarski algebras is not equivalent to a variety of algebras, thus answering a question of Peter Jipsen in the negative. More generally, we sho…
Duality for finitely valued algebras
Marco Abbadini, Adam Přenosil
The theory of natural dualities provides a well-developed framework for studying Stone-like dualities induced by an algebra which acts as a dualizing object when equip…