A natural Galois connection between generalized norms and metrics

A natural Galois connection between generalized norms and metrics AbstractHaving 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Universitatis Sapientiae, Mathematica de Gruyter

A natural Galois connection between generalized norms and metrics

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Publisher
De Gruyter Open
Copyright
© 2017 Árpád Száz, published by De Gruyter Open
eISSN
2066-7752
D.O.I.
10.1515/ausm-2017-0027
Publisher site
See Article on Publisher Site

Abstract

AbstractHaving 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.

Journal

Acta Universitatis Sapientiae, Mathematicade Gruyter

Published: Dec 1, 2017

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