RT Journal Article
T1 Horofunction extension and metric compactifications
A1 Daniilidis, A.
A1 Garrido Carballo, María Isabel
A1 Jaramillo Aguado, Jesús Ángel
A1 Tapia García, Sebastián
AB A necessary and sufficient condition for the horofunction extension (X, d) [X comma d bar, superscript h] of a metric space (X, d) to be a compactification is hereby established. The condition clarifies previous results on proper metric spaces and geodesic spaces and yields the following characterization: a Banach space is Gromovcompactifiable under any renorming if and only if it does not contain an isomorphic copy of 1. In addition, it is shown that, up to an adequate renorming, every Banach space is Gromov-compactifiable. Therefore, the property of being Gromov-compactifiable is not invariant under bi-Lipschitz equivalence.
PB American Mathematical Society
SN 2330-0000
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/128485
UL https://hdl.handle.net/20.500.14352/128485
LA eng
NO Ministerio de Ciencia, Innovación y Universidades
NO Austrian Science Fund
DS Docta Complutense
RD 20 ene 2026