A natural Galois connection between generalized norms and metrics

Author:

Száz Árpád1

Affiliation:

1. Department of Mathematics , University of Debrecen , H–4002 Debrecen , Pf. 400, Hungary

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference30 articles.

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2. [2] T. S. Blyth, M. F. Janowitz, Residuation Theory, Pergamon Press, Oxford, 1972.

3. [3] S. Buglyó, Á. Száz, A more important Galois connection between distance functions and inequality relations, Sci. Ser. A Math. Sci. (N.S.), 18 (2009), 17–38.

4. [4] B. A. Davey, H. A. Priestley, Introduction to Lattices and Order, Cambridge University Press, Cambridge, 2002.

5. [5] K. Denecke, M. Erné, S. L. Wismath (Eds.) Galois Connections and Applications, Kluwer Academic Publisher, Dordrecht, 2004.

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