Endpoints in -Quasimetric Spaces: Part II
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2013
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Abstract and Applied Analysis
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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.
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Agyingi, C.A., Haihambo, P. & KYnzi, H.A. 2013. Endpoints in -Quasimetric Spaces: Part II. Abstract and Applied Analysis. 2013(4):174 - 177. http://hdl.handle.net/11427/35111