English

Real trees

Combinatorics 2023-03-15 v1

Abstract

We survey the definition and some elementary properties of real trees. There are no new results, as far as we know. One purpose is to give a number of different definitions and show the equivalence between them. We discuss also, for example, the four-point inequality, the length measure and the connection to the theory of Gromov hyperbolic spaces. Several examples are given.

Keywords

Cite

@article{arxiv.2303.07920,
  title  = {Real trees},
  author = {Svante Janson},
  journal= {arXiv preprint arXiv:2303.07920},
  year   = {2023}
}

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23 pages