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Axioms for an n-metric Structure

Published online by Cambridge University Press:  20 November 2018

Kerry E. Grant
Kerry E. Grant*
Affiliation:
Southern Connecticut State College, New Haven, Connecticut
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From Euclid to Hilbert, and beyond, the primitive terms of geometry have been taken as “point,” “line,” etc., while “distance” plays a secondary role. The reversal of this situation is a modern development. Frechet [4], in 1906 first considered the properties of distance which should be formalized. The most significant contributions to the geometric properties of metric spaces have been by Menger [10] and Blumenthal [2; 3].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 1 , February 1973 , pp. 24 - 30
Copyright
Copyright © Canadian Mathematical Society 1973

References

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