8 citations · 23 across the 16 of their papers we have counts for
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math.GT2012
Semiflows induced by length metrics: On the way to extinction
Álvaro Martínez-Pérez, Manuel A. Morón
Bing and Moise proved, independently, that any Peano continuum admits a length metric d. We treat non-degenerate Peano continua with a length metric as evolution systems instead of…
math.GT2010
A metric between quasi-isometric trees
Álvaro Martínez-Pérez
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…
math.GT2008
Quasi-isometries between visual hyperbolic spaces
Álvaro Martínez-Pérez
We prove that a PQ-symmetric homeomorphism between two complete metric spaces can be extended to a quasi-isometry between their hyperbolic approximations. This result is used to pr…