(In)dependence of the axioms of Λ-trees
A Λ\Lambda -tree is a Λ\Lambda -metric space satisfying three axioms (1), (2), and (3). We give a characterization of those ordered abelian groups Λ\Lambda for which axioms (1) and (2) imply axiom (3). As a special case, it follows that for the important class of ordered abelian groups Λ\Lambda th...
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-04-01
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| Series: | Analysis and Geometry in Metric Spaces |
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| Online Access: | https://doi.org/10.1515/agms-2023-0106 |