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Arbres, espaces ultramétriques et bases de structure uniforme

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Abstract

We describe a canonical bijection, which associates a tree with a chosen end to a ‘nice’ ultrametric, locally compact, non-compact space: this space is identified with the set of other ends.

Résumé

On décrit une bijection canonique qui associe à un “bon” espace ultramétrique, localement compact, non compact, un arbre pointé par un bout: cet espace s'identifie à l'ensemble des autres bouts.

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Bibliographie

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Choucroun, F. Arbres, espaces ultramétriques et bases de structure uniforme. Geom Dedicata 53, 69–74 (1994). https://doi.org/10.1007/BF01264045

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  • DOI: https://doi.org/10.1007/BF01264045

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