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Discretely normed Abelian groups |
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| Authors: | Frank Zorzitto |
| Affiliation: | (1) Department of Pure Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ont., Canada |
| Abstract: | A discrete norm on an Abelian groupA is a non-negative function  · A   which satisfies the triangle inequality, is homogenous with respect to scaling ofA by  and is bounded away from 0 onA/{0}.A countable Abelian group is discretely normed if and only if the group is free. |
| Keywords: | 20K15 Secondary 39B50 |
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