2 citations · 2 across the 2 of their papers we have counts for
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math.GT2011
Real valued functions and metric spaces quasi-isometric to trees
Álvaro Martínez-Pérez
We prove that if X is a complete geodesic metric space with uniformly generated first homology group and is metrically proper on the connected components and bornologou…
math.GT2009
Zig-zag chains and metric equivalences between ultrametric spaces
Álvaro Martínez-Pérez
We study the classification of ultrametric spaces based on their small scale geometry (uniform homeomorphism), large scale geometry (coarse equivalence) and both (all scale uniform…
math.GT2007★ 2 cited
Inverse sequences, rooted trees and their end spaces
Álvaro Martínez-Pérez, Manuel A. Morón
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 bou…