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Natural dualities in partnership

Abstract:

Traditionally in natural duality theory the algebras carry no topology and the objects on the dual side are structured Boolean spaces. Given a duality, one may ask when the topology can be swapped to the other side to yield a partner duality (or, better, a dual equivalence) between a category of topological algebras and a category of structures. A prototype for this procedure is provided by the passage from Priestley duality for bounded distributive lattices to Banaschewski duality for ordere...

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Publisher copy:
10.1007/s10485-011-9253-4
Journal:
Applied Categorical Structures More from this journal
Volume:
20
Issue:
6
Pages:
583-602
Publication date:
2012-12-01
DOI:
ISSN:
0927-2852
Language:
English
Keywords:
Pubs id:
pubs:389170
UUID:
uuid:9045eda8-c265-4a62-a2b8-98b00728295d
Local pid:
pubs:389170
Source identifiers:
389170
Deposit date:
2013-11-17

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