Uniformly continuous maps between ends of $${\mathbb{R}}$$-trees |
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Authors: | Álvaro Martínez-Pérez Manuel A Morón |
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Institution: | 1.Departamento de Geometría y Topología,Universidad Complutense de Madrid,Madrid,Spain |
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Abstract: | There is a well-known correspondence between infinite trees and ultrametric spaces which can be interpreted as an equivalence
of categories and comes from considering the end space of the tree. In this equivalence, uniformly continuous maps between
the end spaces are translated to some classes of coarse maps (or even classes of metrically proper Lipschitz maps) between
the trees. |
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Keywords: | |
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