ISSN:
1572-8730
Keywords:
Priestley duality
;
Stone duality
;
Pontryagin duality
;
character group
;
program semantics
;
Bochvar Logic
;
regular identities
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Philosophy
Notes:
Abstract The paper discusses “regularisation” of dualities. A given duality between (concrete) categories, e.g. a variety of algebras and a category of representation spaces, is lifted to a duality between the respective categories of semilattice representations in the category of algebras and the category of spaces. In particular, this gives duality for the regularisation of an irregular variety that has a duality. If the type of the variety includes constants, then the regularisation depends critically on the location or absence of constants within the defining identities. The role of schizophrenic objects is discussed, and a number of applications are given. Among these applications are different forms of regularisation of Priestley, Stone and Pontryagin dualities.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00370148
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