ISSN:
1572-9273
Keywords:
06A99
;
18B99
;
Partially ordered sets
;
set representation of partially ordered sets
;
generalized spaces
;
Stone Duality
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract The representation of partially ordered sets by subsets of some set such that specified joins (meets) are taken to unions (intersections) suggests two categories, that of partially ordered sets with specified joins and meets, and that of sets equipped with suitable collections of subsets, and adjoint contravariant functors between them. This, in turn, induces a duality including, among several others, the two Stone Dualities and that between spatial locales and sober spaces.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00143898
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