Endpoints inT0-Quasimetric Spaces: Part II | Zendy

Collins Amburo Agyingi | Zendy; Paulus Haihambo | Zendy; Hans-Peter A. Künzi | Zendy

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Endpoints inT0-Quasimetric Spaces: Part II

Author(s) -

Collins Amburo Agyingi,

Paulus Haihambo,

Hans-Peter A. Künzi

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/539573

Subject(s) - algorithm , artificial intelligence , computer science , mathematics

We continue our work on endpoints and startpoints inT0-quasimetric spaces. In particular we specialize some of ourearlier results to the case of two-valued T0-quasimetrics,that is, essentially, to partial orders. For instance, we observethat in a complete lattice the startpoints (resp., endpoints) inour sense are exactly the completely join-irreducible (resp.,completely meet-irreducible) elements. We also discuss for apartially ordered set the connection between itsDedekind-MacNeille completion and the q-hyperconvex hull of itsnatural T0-quasimetric space

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