Original Research

Partitions of sets in metric and normed spaces induced by concentric spheres and parallel hyperplanes.

K. J. Swanepoel
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie | Vol 18, No 4 | a731 | DOI: https://doi.org/10.4102/satnt.v18i4.731 | © 1999 K. J. Swanepoel | This work is licensed under CC Attribution 4.0
Submitted: 12 July 1999 | Published: 15 July 1999

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K. J. Swanepoel,, South Africa

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Abstract

A covering of a set A in a metric space (M,d) by finitely many distinct concentric spheres induces a partition on A.

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