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.
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]
On the Axiomatisability of the Dual of Compact Ordered Spaces
M. Abbadini;L. Reggio
2020
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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
AbbadiniReggio2020_-_On_the_Axiomatisability_of_the_dual_of_compact_ordered_spaces.pdf
accesso aperto
Tipologia:
Publisher's version/PDF
Dimensione
584.87 kB
Formato
Adobe PDF
|
584.87 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.