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Coordinatizing R-trees in terms of universal c-trees

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Abstract

A complete ℝ-treeT will be constructed such that, for everyxσT, the cardinality of the set of connected components ofT{x} is the same and equals a pre-given cardinalityc; by this construction simultaneously the valuated matroid of the ends of this ℝ-tree is given. In addition, for any arbitrary ℝ-tree, an embedding into such a “universalc-tree” (for suitablec) will be constructed.

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  1. Research Center for Interdisciplinary Studies on Structure Formation (FSPM), Bielefeld University, Postbox 10 01 31, 33501, Bielefeld, Germany

    Werner F. Terhalle

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  1. Werner F. Terhalle
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Terhalle, W.F. Coordinatizing R-trees in terms of universal c-trees. Annals of Combinatorics 1, 183–196 (1997). https://doi.org/10.1007/BF02558474

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  • DOI: https://doi.org/10.1007/BF02558474

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