2026-06-27T16:03:29Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/1284852025-12-05T00:55:15Zcom_20.500.14352_14col_20.500.14352_15

Daniilidis, A. Garrido Carballo, María Isabel Jaramillo Aguado, Jesús Ángel Tapia García, Sebastián 2025-12-04T17:29:11Z 2025-12-04T17:29:11Z 2025 2330-0000 10.1090/btran/234 https://hdl.handle.net/20.500.14352/128485 https://doi.org/10.1090/btran/234 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. eng http://creativecommons.org/licenses/by/4.0/ open access Attribution 4.0 International Horofunction extension and metric compactifications journal article