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Endpoints in T0‐Quasimetric Spaces: Part II

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Listed:
  • Collins Amburo Agyingi
  • Paulus Haihambo
  • Hans-Peter A. Künzi

Abstract

We continue our work on endpoints and startpoints in T0‐quasimetric spaces. In particular we specialize some of our earlier results to the case of two‐valued T0‐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 q‐hyperconvex hull of its natural T0‐quasimetric space.

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Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:539573
DOI: 10.1155/2013/539573
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