A natural Galois connection between generalized norms and metrics

Árpád Száz

doi:10.1515/ausm-2017-0027

Abstract

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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A natural Galois connection between generalized norms and metrics

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