Articles
Published 2009-02-26
Keywords
- Distance functions and inequality relations,
- closure operations and Galois connections.
Copyright (c) 2025 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
A more important Galois connection between distance functions and inequality relations. (2009). Scientia Series A: Mathematical Sciences, 18, 17-38. https://revistas.usm.cl/scientia/article/view/127
Abstract
In a former paper, by using the ideas of R. DeMarr, the second author established a useful Galois connection between distance functions on \(X\) and inequality relations on \(X \times \mathbb{R}\). Now, by using the ideas of A. Brøndsted, M. Altman and the second author, we establish a more important Galois connection between distance functions and inequality relations on the same set \(X\).
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