Garrido Carballo, María IsabelJaramillo Aguado, Jesús Ángel2023-06-202023-06-202000Garrido, M. Isabel, y Jesús A. Jaramillo. «A Banach-Stone Theorem for Uniformly Continuous Functions». Monatshefte for Mathematik, vol. 131, n.o 3, diciembre de 2000, pp. 189-92. DOI.org (Crossref), https://doi.org/10.1007/s006050070008.0026-925510.1007/s006050070008https://hdl.handle.net/20.500.14352/57329Partially supported by DGES grants PB96/1262 and PB96/0607In this note we prove that the uniformity of a complete metric space X is characterized by the vector lattice structure of the set U(X) of all uniformly continuous real functions on X.engjournal articlehttps://doi.org/10.1007/s006050070008http://www.springerlink.comhttp://www.springerlink.com/content/jgr5jgllju8btpe7/fulltext.pdfrestricted access515.1Uniformly continuous real functionslattice homomorphismsBanach-Stone theoremsTopología1210 Topología