Vol. 18 (2009)
Articles

A more important Galois connection between distance functions and inequality relations

Sándor Buglyó
Faculty of Technical Engineering, University of Debrecen, H–4028 Debrecen, ´ Otemet˝o ´ut 2–4, Hungary
Árpád Száz
Institute of Mathematics, University of Debrecen, H–4010 Debrecen, Pf. 12, Hungary

Publicado 2009-02-26

Palabras clave

  • Distance functions and inequality relations,
  • closure operations and Galois connections.

Cómo citar

A more important Galois connection between distance functions and inequality relations. (2009). Scientia, 18, 17-38. https://revistas.usm.cl/scientia/article/view/127

Resumen

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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