Endpoints in -Quasimetric Spaces: Part II

Collins Amburo Agyingi, Paulus Haihambo and Hans-Peter A. Künzi

Abstract and Applied Analysis, 2013, vol. 2013, 1-10

Abstract:

We continue our work on endpoints and startpoints in -quasimetric spaces. In particular we specialize some of our earlier results to the case of two-valued -quasimetrics, that is, essentially, to partial orders. For instance, we observe that in a complete lattice the startpoints (resp., endpoints) in our sense are exactly the completely join-irreducible (resp., completely meet-irreducible) elements. We also discuss for a partially ordered set the connection between its Dedekind-MacNeille completion and the -hyperconvex hull of its natural -quasimetric space.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:539573

DOI: 10.1155/2013/539573

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