Injective Hulls in POSV
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
Unable to display preview. Download preview PDF.
- M. Erné, Adjunctions and standard constructions for partially ordered sets, in: Contributions to general algebra, 2 (Klagenfurt, 1982), 77–106, Holder-Pichler-Tempsky, Vienna, 1983.Google Scholar
- U. Heckmanns, Aspects of ultrametric spaces, Thesis, München 1995.Google Scholar
- E. M. Jawhari, D. Misane and M. Pouzet, Retracts: graphs and ordered sets from the metric point of view, in: Combinatorics and ordered sets (Arcata, Calif., 1985), 175-226, Contemp. Math., 57 (1986).Google Scholar