Endpoints in -Quasimetric Spaces: Part II

Journal Article

2013

Permanent link to this Item
Authors
Journal Title

Abstract and Applied Analysis

Journal ISSN
Volume Title
Publisher
Publisher
License
Series
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.
Description

Reference:

Collections