A natural Galois connection between generalized norms and metrics
| 07. März 2018
Über diesen Artikel
Online veröffentlicht: 07. März 2018
Seitenbereich: 360 - 373
Eingereicht: 02. Feb. 2017
DOI: https://doi.org/10.1515/ausm-2017-0027
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© 2017 Árpád Száz, published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.