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BISECTORS IN VECTOR GROUPS OVER INTEGERS
Published online by Cambridge University Press: 15 August 2019
Abstract
We present an example of an isometric subspace of a metric space that has a greater metric dimension. We also show that the metric spaces of vector groups over the integers, defined by the generating set of unit vectors, cannot be resolved by a finite set. Bisectors in the spaces of vector groups, defined by the generating set consisting of unit vectors, are completely determined.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 100 , Issue 3 , December 2019 , pp. 353 - 361
- Copyright
- © 2019 Australian Mathematical Publishing Association Inc.
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