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00925njm 22002777a 4500 dc Martínez Pérez, Álvaro author Alonso Morón, Manuel author 2009 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. Martínez Pérez, Á., Alonso Morón, M. «Uniformly Continuous Maps between Ends of $${\mathbb{R}}$$ -Trees». Mathematische Zeitschrift, vol. 263, n.o 3, noviembre de 2009, pp. 583-606. DOI.org (Crossref), https://doi.org/10.1007/s00209-008-0431-5. 0025-5874 10.1007/s00209-008-0431-5 https://hdl.handle.net/20.500.14352/49894 https//doi.org/10.1007/s00209-008-0431-5 http://www.springerlink.com/content/3711900186614502/fulltext.pdf Uniformly continuous maps between ends of R-trees