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 Aleph_1-ary variety of algebras. Further, we show that Aleph_1 is a sharp bound: compact ordered spaces are not dually equivalent to any SP-class of finitary algebras.Comment: 10 pages. v3: minor changes. To appear in Applied Categorical Structure

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