RT Journal Article
T1 Inverse sequences, rooted trees and their end spaces
A1 Martínez Pérez, Álvaro
A1 Alonso Morón, Manuel
AB 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.
PB Elsevier Science
SN 0166-8641
YR 2010
FD 2010-10-01
LK https://hdl.handle.net/20.500.14352/42137
UL https://hdl.handle.net/20.500.14352/42137
LA eng
NO Martínez Pérez, Á. y Alonso Morón, M. «Inverse Sequences, Rooted Trees and Their End Spaces». Topology and Its Applications, vol. 157, n.o 16, octubre de 2010, pp. 2480-94. DOI.org (Crossref), https://doi.org/10.1016/j.topol.2010.08.005.
DS Docta Complutense
RD 18 dic 2025