Injective Hulls in POSV
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We determine the injective objects and hulls in the category POSV. This category is similar to the one of join semilattices but contains all partially ordered sets. The results of this paper have applications, for instance, in the theory of (generalized) ultrametric spaces.
Math. Subject Classification06A23 06A12 18B35
key wordsinjective object injective hull V-monotone map semilattice POSV Brouwerian lattice
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