2 papers
math.CT2025
On the axiomatisability of the dual of compact ordered spaces
Marco Abbadini
We prove that the category of Nachbin's compact ordered spaces and order-preserving continuous maps between them is dually equivalent to a variety of algebras, with operations of a…
math.CT2019
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…