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 ℵ1-ary variety of algebras. Further, we show that ℵ1 is a sharp bound: compact ordered spaces are not dually equivalent to any SP-class of finitary algebras.
Main Authors: | Abbadini, M, Reggio, L |
---|---|
Format: | Journal article |
Language: | English |
Published: |
Springer
2020
|
Similar Items
-
Stone duality above dimension zero: Axiomatising the algebraic theory of C(X)
by: Marra, V, et al.
Published: (2016) -
Axiomatisation and Simulation
by: Klaus G. Troitzsch
Published: (2019-02-01) -
On the Axiomatisability of Parallel Composition
by: Luca Aceto, et al.
Published: (2022-01-01) -
Explaining SDN Failures via Axiomatisations
by: Georgiana Caltais
Published: (2019-09-01) -
Continuous analogues of axiomatised digital surfaces
by: Roscoe, A, et al.
Published: (1985)