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....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Accademia Piceno Aprutina dei Velati
2012-06-01
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| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/61 |
| Summary: | 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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| ISSN: | 1592-7415 2282-8214 |