Data di Pubblicazione:
2019
Citazione:
The dual of compact ordered spaces is a variety / M. Abbadini. - In: THEORY AND APPLICATIONS OF CATEGORIES. - ISSN 1201-561X. - 34:(2019), pp. 1401-1439.
Abstract:
In a recent paper (2018), D. Hofmann, R. Neves and P. Nora proved that the dual of the category of compact ordered spaces and monotone continuous maps is a quasi-variety-not finitary, but bounded by N-1. An open question was: is it also a variety? We show that the answer is affirmative. We describe the variety by means of a set of finitary operations, together with an operation of countably infinite arity, and equational axioms. The dual equivalence is induced by the dualizing object [0, 1].
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
compact ordered space; variety; duality; axiomatizability
Elenco autori:
M. Abbadini
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