Results in Mathematics

, Volume 36, Issue 3–4, pp 260–270 | Cite as

Injective Hulls in POSV

Research article


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 Classification

06A23 06A12 18B35 

key words

injective object injective hull V-monotone map semilattice POSV Brouwerian lattice 


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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  1. 1.Ulrich Heckmanns, Mathematisches Institut der Universität MünchenMünchen

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