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Metric axioms and distance

Published online by Cambridge University Press:  23 January 2015

Michael J. Cullinane
Michael J. Cullinane*
Affiliation:
Mathematics Department, Keene State College, Keene, New Hampshire, USA
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Extract

Many mathematicians' experiences with distances in the settings of geometry, analysis, and topology can lead to the impression that the only worthwhile or ‘reasonable’ distance functions are metrics. We hope to convince the reader otherwise.

Recall that a metric for a set X is a function d: X × X → [0, ∞) satisfying all of the following metric axioms:

Type
Articles
Information
The Mathematical Gazette , Volume 95 , Issue 534 , November 2011 , pp. 414 - 419
Copyright
Copyright © The Mathematical Association 2011

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