On the Axiomatisability of the Dual of Compact Ordered Spaces

Articolo

Data di Pubblicazione:

2020

Citazione:

On the Axiomatisability of the Dual of Compact Ordered Spaces / M. Abbadini, L. Reggio. - In: APPLIED CATEGORICAL STRUCTURES. - ISSN 0927-2852. - 28:6(2020), pp. 921-934. [10.1007/s10485-020-09604-y]

Abstract:

We provide a direct and elementary proof of the fact that the category of Nachbin's compact ordered spaces is dually equivalent to an N-1-ary variety of algebras. Further, we show that N-1 is a sharp bound: compact ordered spaces are not dually equivalent to any SP-class of finitary algebras.

Tipologia IRIS:

01 - Articolo su periodico

Keywords:

Axiomatisability; Compact ordered spaces; Duality; Infinitary varieties

Elenco autori: