A G-metric over an abelian linearly ordered group G = (G;⊙;) is a binary operation, dG, 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.
About a definition of metric over an abelian linearly ordered group / Cavallo, Bice; D'Apuzzo, Livia. - In: RATIO MATHEMATICA. - ISSN 1592-7415. - 22:(2012), pp. 3-12.
About a definition of metric over an abelian linearly ordered group
CAVALLO, BICE;D'APUZZO, LIVIA
2012
Abstract
A G-metric over an abelian linearly ordered group G = (G;⊙;) is a binary operation, dG, 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.File in questo prodotto:
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