On the axiomatisability of the dual of compact ordered spaces

We provide a direct and elementary proof of the fact that the category of Nachbin’s compact ordered spaces is dually equivalent to an ℵ1-ary variety of algebras. Further, we show that ℵ1 is a sharp bound: compact ordered spaces are not dually equivalent to any SP-class of finitary algebras.

Bibliographic Details
Main Authors: Abbadini, M, Reggio, L
Format: Journal article
Language:English
Published: Springer 2020