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2013 Endpoints in T 0 -Quasimetric Spaces: Part II
Collins Amburo Agyingi, Paulus Haihambo, Hans-Peter A. Künzi
Abstr. Appl. Anal. 2013(SI57): 1-10 (2013). DOI: 10.1155/2013/539573

Abstract

We continue our work on endpoints and startpoints in T 0 -quasimetric spaces. In particular we specialize some of our earlier results to the case of two-valued T 0 -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 T 0 -quasimetric space.

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Collins Amburo Agyingi. Paulus Haihambo. Hans-Peter A. Künzi. "Endpoints in T 0 -Quasimetric Spaces: Part II." Abstr. Appl. Anal. 2013 (SI57) 1 - 10, 2013. https://doi.org/10.1155/2013/539573

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1300.54035
MathSciNet: MR3093768
Digital Object Identifier: 10.1155/2013/539573

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI57 • 2013
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