A natural Galois connection between generalized norms and metrics

DOI10.1515/ausm-2017-0027OpenAlexW2801954141MaRDI QIDQ1750075

Árpád Száz

Publication date: 17 May 2018

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ausm-2017-0027

zbMATH Keywords

groupsGalois connectionsinvariant semimetricspreseminorms

Mathematics Subject Classification ID

Semimetric spaces (54E25) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Foundations (20A99)

Related Items (4)

Generalizations of some ordinary and extreme connectedness properties of topological spaces to relator spaces ⋮ Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions ⋮ Birelator Spaces Are Natural Generalizations of Not Only Bitopological Spaces, But Also Ideal Topological Spaces ⋮ A Galois connection related to restrictions of continuous real functions

Cites Work

• A particular Galois connection between relations and set functions.
• Some Galois connections in elementary number theory
• A Galois connection between distance functions and inequality relations
• Semi-Inner Products and Parapreseminorms on Groups and a Generalization of a Theorem of Maksa and Volkmann on Additive Functions
• On Some New Generalizations of the Functional Equation of Cauchy
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