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On equinormal quasi-metrics

Published online by Cambridge University Press:  20 January 2009

Salvador Romaguera
Salvador Romaguera
Affiliation:
Departamento de Mathemáticas, ETSICCP, Universidad Politécnica, 46071, Valencia, Spain
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Throughout this paper all spaces are T1 and N will denote the set of all positive integer numbers.

A quasi-metric on a set X is a non-negative real-valued function d on X × X such that, for all x, y, z ∈ X, (i) d(x, y) = 0 if, and only if, x = ysemicolon (ii) d(x, y)≦d(x, z) + d(z, y).

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 32 , Issue 2 , June 1989 , pp. 193 - 196
Copyright
Copyright © Edinburgh Mathematical Society 1989

References

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