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On the axiomatisability of the dual of compact ordered spaces

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 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.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/s10485-020-09604-y

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author
ORCID:
0000-0001-7331-7381
Publisher:
Springer Publisher's website
Journal:
Applied Categorical Structures Journal website
Volume:
28
Pages:
921-934
Publication date:
2020-08-20
Acceptance date:
2020-07-30
DOI:
EISSN:
1572-9095
ISSN:
0927-2852
Language:
English
Keywords:
Pubs id:
1128970
Local pid:
pubs:1128970
Deposit date:
2020-08-28

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