About a definition of metric over an abelian linearly ordered group

A G-metric over an abelian linearly ordered group G = (G,⊙,≤) is a binary operation, d G , verifying suitable properties. We consider a particular G metric derived by the group operation ⊙ and the total weak order ≤, and show that it provides a base for the order topology associated to G....

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Bibliographic Details
Main Authors: Bice Cavallo, Livia D’Apuzzo
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2012-06-01
Series:Ratio Mathematica
Subjects:
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/61