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Endpoints in T0-Quasimetric Spaces: Part II
- Source :
- Abstract and Applied Analysis, Vol 2013 (2013)
- Publication Year :
- 2013
- Publisher :
- Wiley, 2013.
-
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.
- Subjects :
- Mathematics
QA1-939
Subjects
Details
- Language :
- English
- ISSN :
- 10853375 and 16870409
- Volume :
- 2013
- Database :
- Directory of Open Access Journals
- Journal :
- Abstract and Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.297a92203db34cb78c9767b8fccc7ee5
- Document Type :
- article
- Full Text :
- https://doi.org/10.1155/2013/539573