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Inverse sequences, rooted trees and their end spaces

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Martínez Pérez, Álvaro and Morón, Manuel A. (2010) Inverse sequences, rooted trees and their end spaces. Topology and its Applications, 157 (16). pp. 2480-2494. ISSN 0166-8641

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Official URL: http://www.sciencedirect.com/science/article/pii/S0166864110002634


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Abstract

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 metrically proper homotopy type of the corresponding tree and its maximal geodesically complete subtree. We also obtain some consequences in shape theory. In particular we describe some new representations of shape morphisms related to infinite branches in trees.


Item Type:Article
Uncontrolled Keywords:Tree; Inverse sequence; End space; Coarse map; Mittag-Leffler property; Shape theory
Subjects:Sciences > Mathematics > Topology
Sciences > Mathematics > Algebra
ID Code:14996
Deposited On:25 Apr 2012 08:47
Last Modified:12 Dec 2018 15:13

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