Spaces of algebraic measure trees and triangulations of the circle

@article{Lohr2021SpacesOA,
  title={Spaces of algebraic measure trees and triangulations of the circle},
  author={Wolfgang Lohr and Anita Winter},
  journal={Bulletin de la Soci{\'e}t{\'e} Math{\'e}matique de France},
  year={2021},
  volume={149}
}
In this paper we investigate algebraic trees which can be considered as (continuum) metric trees in which the metric distances are ignored and in which therefore the focus lies on the tree structure. We give an axiomatic definition of such trees, which we call \emph{algebraic trees}, using a branch point map and show that any order separable algebraic tree can be represented by a metric tree. We further consider algebraic measure trees which are algebraic trees additionally equipped with a… Expand

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