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.

Bibliographic Details
Main Author: Száz Árpád
Format: Article
Language:English
Published: Sciendo 2017-12-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
Online Access:https://doi.org/10.1515/ausm-2017-0027