University of Castilla-La Mancha
Análisis Económico y Finanzas
Abstract We prove that a power quasi-symmetric (or PQ-symmetric) homeomorphism between two complete metric spaces can be extended to a quasi-isometry between their hyperbolic approximations. This result can be used to prove that two... more
It is known that PQ-symmetric maps on the boundary characterize the quasi-isometry type of visual hyperbolic spaces, in particular, of geodesically complete \br-trees. We define a map on pairs of PQ-symmetric ultrametric spaces which... more
Given a group acting on a graph quasi-isometric to a tree, we give sufficent conditions for a pseudocharacter to be bushy. We relate this with the conditions studied by M. Bestvina and K. Fujiwara on their work on bounded cohomology and... more
We prove that if X is a complete geodesic metric space with uniformly generated first homology group and $f: X\to R$ is metrically proper on the connected components and bornologous, then X is quasi-isometric to a tree. Using this and... more
... LA TOPOLOGÍA GEOMÉTRICA MEMORIA PARA OPTAR AL GRADO DE DOCTOR PRESENTADA POR Álvaro Martínez Pérez Bajo la dirección del doctor Manuel Alonso Morón Madrid, 2008 ISBN: 978-84-692-1087-1 © Álvaro Martínez Pérez, 2008 Page 2. ...
Topological indices are useful for predicting the physicochemical behavior of chemical compounds. A main problem in this topic is finding good bounds for the indices, usually when some parameters of the graph are known. The aim of this... more