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arXiv · 1909.01631

On the axiomatisability of the dual of compact ordered spaces

Marco Abbadini·Luca Reggio
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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 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.

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Marco Abbadini, Luca Reggio. 2020-08-07. On the axiomatisability of the dual of compact ordered spaces. https://doi.org/10.1007/s10485-020-09604-y

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