7 citations · 21 across the 16 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.CT2019★ 7 cited
On the axiomatisability of the dual of compact ordered spaces
Marco Abbadini, Luca Reggio
We provide a direct and elementary proof of the fact that the category of Nachbin's compact ordered spaces is dually equivalent to an Aleph_1-ary variety of algebras. Further, we s…
math.LO2019★ 4 cited
Equivalence à la Mundici for commutative lattice-ordered monoids
Marco Abbadini
We provide a generalization of Mundici's equivalence between unital Abelian lattice-ordered groups and MV-algebras: the category of unital commutative lattice-ordered groups is equ…
math.LO2019★ 4 cited
The dual of compact ordered spaces is a variety
Marco Abbadini
In a recent paper (2018), D. Hofmann, R. Neves and P. Nora proved that the dual of the category of compact partially ordered spaces and monotone continuous maps is a quasi-variety…