A natural Galois connection between generalized norms and metrics
Having in mind a well-known connection between norms and metrics on vector spaces, for an additively written group X, we establish a natural Galois connection between functions of X to ℝ and X2 to ℝ.
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| Format: | Article |
| Language: | English |
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Sciendo
2017-12-01
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| Series: | Acta Universitatis Sapientiae: Mathematica |
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| Online Access: | https://doi.org/10.1515/ausm-2017-0027 |
| Summary: | Having in mind a well-known connection between norms and metrics on vector spaces, for an additively written group X, we establish a natural Galois connection between functions of X to ℝ and X2 to ℝ. |
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| ISSN: | 2066-7752 |