2007/10/16 by Álvaro Martínez-Pérez, Martínez-Pérez, Álvaro, Manuel A. Morón +1 · 1 citation
Computer Science · Mathematics · #51K05 (Secondary) #53C23 (Primary) #54C05 #54E35 #Digital Image Processing Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Matrix Theory and Algorithms #Neural Networks and Applications #math.GT #msc:51K05 #msc:53C23 #msc:54C05 #msc:54E35
paper · pdf · doi:10.48550/arxiv.0710.3004
28 pages. Minor changes
openalex publication_date 2007/10/16 · arxiv created 2009/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we prove that if we consider the standard real metric on simplicial rooted trees then the category Tower-Set of inverse sequences can be described by means of the bounded coarse geometry of the naturally associated trees. Using this we give a geometrical characterization of Mittag-Leffler property in inverse sequences in terms of the Lipschitz, and metrically proper, homotopy type of the corresponding tree and its maximal geodesically complete subtree. We also some consequences in shape theory, in particular we obtain some new representations of shape morphisms related to infinite brunches in trees.